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4223112401040 = 2435135692378843
BaseRepresentation
bin111101011101000101000…
…111010101000010010000
3112221201120222001000020220
4331131011013111002100
51023142413233313130
612552023203033040
7614052443061411
oct75350507250220
915851528030226
104223112401040
111389014943855
1258257396b780
1324831256cc50
14108584c0b808
1574cbd543410
hex3d7451d5090

4223112401040 has 160 divisors (see below), whose sum is σ = 14123482289280. Its totient is φ = 1037707972608.

The previous prime is 4223112401033. The next prime is 4223112401047. The reversal of 4223112401040 is 401042113224.

It is an interprime number because it is at equal distance from previous prime (4223112401033) and next prime (4223112401047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4223112401040.

It is not an unprimeable number, because it can be changed into a prime (4223112401047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585859 + ... + 2964701.

It is an arithmetic number, because the mean of its divisors is an integer number (88271764308).

Almost surely, 24223112401040 is an apocalyptic number.

4223112401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223112401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061741144640).

4223112401040 is an abundant number, since it is smaller than the sum of its proper divisors (9900369888240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4223112401040 is a wasteful number, since it uses less digits than its factorization.

4223112401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379441 (or 2379435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4223112401040 its reverse (401042113224), we get a palindrome (4624154514264).

The spelling of 4223112401040 in words is "four trillion, two hundred twenty-three billion, one hundred twelve million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 569 624 780 1040 1138 1560 1707 2276 2845 3120 3414 4552 5690 6828 7397 8535 9104 11380 13656 14794 17070 22191 22760 27312 29588 34140 36985 44382 45520 59176 68280 73970 88764 110955 118352 136560 147940 177528 221910 295880 355056 443820 591760 887640 1775280 2378843 4757686 7136529 9515372 11894215 14273058 19030744 23788430 28546116 30924959 35682645 38061488 47576860 57092232 61849918 71365290 92774877 95153720 114184464 123699836 142730580 154624795 185549754 190307440 247399672 285461160 309249590 371099508 463874385 494799344 570922320 618499180 742199016 927748770 1236998360 1353561667 1484398032 1855497540 2473996720 2707123334 3710995080 4060685001 5414246668 6767808335 7421990160 8121370002 10828493336 13535616670 16242740004 17596301671 20303425005 21656986672 27071233340 32485480008 35192603342 40606850010 52788905013 54142466680 64970960016 70385206684 81213700020 87981508355 105577810026 108284933360 140770413368 162427400040 175963016710 211155620052 263944525065 281540826736 324854800080 351926033420 422311240104 527889050130 703852066840 844622480208 1055778100260 1407704133680 2111556200520 4223112401040