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4023300143440 = 2451710740168947
BaseRepresentation
bin111010100010111111011…
…000000011100101010000
3112020121211201000121220201
4322202333120003211100
51011404204314042230
612320140100544544
7563450061650344
oct72427730034520
915217751017821
104023300143440
1113112aa053266
1254b8ab0b2154
1323251b105a66
14dca2ba3b624
156e9c68065ca
hex3a8bf603950

4023300143440 has 160 divisors (see below), whose sum is σ = 10022058440064. Its totient is φ = 1496734924800.

The previous prime is 4023300143437. The next prime is 4023300143449. The reversal of 4023300143440 is 443410033204.

It is a junction number, because it is equal to n+sod(n) for n = 4023300143399 and 4023300143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023300143449) 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, 58319047 + ... + 58387993.

Almost surely, 24023300143440 is an apocalyptic number.

4023300143440 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 4023300143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011029220032).

4023300143440 is an abundant number, since it is smaller than the sum of its proper divisors (5998758296624).

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

4023300143440 is a wasteful number, since it uses less digits than its factorization.

4023300143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69485 (or 69479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4023300143440 its reverse (443410033204), we get a palindrome (4466710176644).

The spelling of 4023300143440 in words is "four trillion, twenty-three billion, three hundred million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 340 401 428 535 680 802 856 1070 1360 1604 1712 1819 2005 2140 3208 3638 4010 4280 6416 6817 7276 8020 8560 9095 13634 14552 16040 18190 27268 29104 32080 34085 36380 42907 54536 68170 68947 72760 85814 109072 136340 137894 145520 171628 214535 272680 275788 343256 344735 429070 545360 551576 686512 689470 729419 858140 1103152 1172099 1378940 1458838 1716280 2344198 2757880 2917676 3432560 3647095 4688396 5515760 5835352 5860495 7294190 7377329 9376792 11670704 11720990 14588380 14754658 18753584 23441980 27647747 29176760 29509316 36886645 46883960 55295494 58353520 59018632 73773290 93767920 110590988 118037264 125414593 138238735 147546580 221181976 250829186 276477470 295093160 442363952 470011699 501658372 552954940 590186320 627072965 940023398 1003316744 1105909880 1254145930 1880046796 2006633488 2211819760 2350058495 2508291860 2958308929 3760093592 4700116990 5016583720 5916617858 7520187184 9400233980 10033167440 11833235716 14791544645 18800467960 23666471432 29583089290 37600935920 47332942864 50291251793 59166178580 100582503586 118332357160 201165007172 236664714320 251456258965 402330014344 502912517930 804660028688 1005825035860 2011650071720 4023300143440