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23231340413312 = 2710315114717933
BaseRepresentation
bin1010100100000111101111…
…10010110000000110000000
310001020220011001112102100212
411102003313302300012000
511021110241121211222
6121224155213333252
74615260162241253
oct522036762600600
9101226131472325
1023231340413312
1174473a1029339
122732480a97228
13cc6924112865
145a458d6c109a
152a447919c6e2
hex1520f7cb0180

23231340413312 has 128 divisors (see below), whose sum is σ = 47077903441920. Its totient is φ = 11417511168000.

The previous prime is 23231340413249. The next prime is 23231340413317. The reversal of 23231340413312 is 21331404313232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231340413317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2928439298 + ... + 2928447230.

It is an arithmetic number, because the mean of its divisors is an integer number (367796120640).

Almost surely, 223231340413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23231340413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538951720960).

23231340413312 is an abundant number, since it is smaller than the sum of its proper divisors (23846563028608).

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

23231340413312 is a wasteful number, since it uses less digits than its factorization.

23231340413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 23231340413312 its reverse (21331404313232), we get a palindrome (44562744726544).

The spelling of 23231340413312 in words is "twenty-three trillion, two hundred thirty-one billion, three hundred forty million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 151 206 302 412 604 824 1208 1471 1648 2416 2942 3296 4832 5884 6592 7933 9664 11768 13184 15553 15866 19328 23536 31106 31732 47072 62212 63464 94144 124424 126928 151513 188288 222121 248848 253856 303026 444242 497696 507712 606052 817099 888484 995392 1015424 1197883 1212104 1634198 1776968 1990784 2395766 2424208 3268396 3553936 4791532 4848416 6536792 7107872 9583064 9696832 11669443 13073584 14215744 19166128 19393664 22878463 23338886 26147168 28431488 38332256 45756926 46677772 52294336 76664512 91513852 93355544 104588672 123381949 153329024 183027704 186711088 246763898 366055408 373422176 493527796 732110816 746844352 987055592 1201952629 1464221632 1493688704 1762085893 1974111184 2403905258 2928443264 3524171786 3948222368 4807810516 7048343572 7896444736 9615621032 14096687144 15792889472 19231242064 28193374288 38462484128 56386748576 76924968256 112773497152 153849936512 181494846979 225546994304 362989693958 725979387916 1451958775832 2903917551664 5807835103328 11615670206656 23231340413312