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4040030030440 = 2351729233879269
BaseRepresentation
bin111010110010100100100…
…011100000101001101000
3112022020000122020221110011
4322302210203200221220
51012142440141433230
612331544132301304
7564611465440165
oct72624443405150
915266018227404
104040030030440
1113184046a0a58
12552b99a71834
13233c86163a91
14dd7778c706c
1570155424e2a
hex3aca48e0a68

4040030030440 has 128 divisors (see below), whose sum is σ = 9999410148000. Its totient is φ = 1462201581568.

The previous prime is 4040030030429. The next prime is 4040030030447. The reversal of 4040030030440 is 440300300404.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 397497464676 + 3642532565764 = 630474^2 + 1908542^2 .

It is a super-3 number, since 3×40400300304403 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4040030030447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4155126 + ... + 5034394.

Almost surely, 24040030030440 is an apocalyptic number.

4040030030440 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 4040030030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999705074000).

4040030030440 is an abundant number, since it is smaller than the sum of its proper divisors (5959380117560).

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

4040030030440 is a wasteful number, since it uses less digits than its factorization.

4040030030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879559 (or 879555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4040030030440 its reverse (440300300404), we get a palindrome (4480330330844).

The spelling of 4040030030440 in words is "four trillion, forty billion, thirty million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 233 290 340 466 493 580 680 932 986 1160 1165 1864 1972 2330 2465 3944 3961 4660 4930 6757 7922 9320 9860 13514 15844 19720 19805 27028 31688 33785 39610 54056 67570 79220 114869 135140 158440 229738 270280 459476 574345 879269 918952 1148690 1758538 2297380 3517076 4396345 4594760 7034152 8792690 14947573 17585380 25498801 29895146 35170760 50997602 59790292 74737865 101995204 119580584 127494005 149475730 203990408 204869677 254988010 298951460 409739354 433479617 509976020 597902920 819478708 866959234 1019952040 1024348385 1638957416 1733918468 2048696770 2167398085 3467836936 3482784509 4097393540 4334796170 5941220633 6965569018 8194787080 8669592340 11882441266 13931138036 17339184680 17413922545 23764882532 27862276072 29706103165 34827845090 47529765064 59412206330 69655690180 101000750761 118824412660 139311380360 202001501522 237648825320 404003003044 505003753805 808006006088 1010007507610 2020015015220 4040030030440