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13142044202304 = 263241983288929
BaseRepresentation
bin1011111100111101111011…
…1000000101010101000000
31201112100220122201122102010
42333033132320011111000
53210304401303433204
643541212144452520
72524324051402233
oct277173670052500
951470818648363
1013142044202304
114207567381326
12158302401a140
1374439bbccc74
14336114d3741a
1517bcc4a9cd89
hexbf3dee05540

13142044202304 has 112 divisors (see below), whose sum is σ = 34951580104320. Its totient is φ = 4358051266560.

The previous prime is 13142044202303. The next prime is 13142044202317. The reversal of 13142044202304 is 40320244024131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142044202303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45340912 + ... + 45629840.

Almost surely, 213142044202304 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 13142044202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475790052160).

13142044202304 is an abundant number, since it is smaller than the sum of its proper divisors (21809535902016).

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

13142044202304 is a wasteful number, since it uses less digits than its factorization.

13142044202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290168 (or 290158 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13142044202304 its reverse (40320244024131), we get a palindrome (53462288226435).

The spelling of 13142044202304 in words is "thirteen trillion, one hundred forty-two billion, forty-four million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 983 1446 1928 1966 2892 2949 3856 3932 5784 5898 7712 7864 11568 11796 15424 15728 23136 23592 31456 46272 47184 62912 94368 188736 236903 288929 473806 577858 710709 866787 947612 1155716 1421418 1733574 1895224 2311432 2842836 3467148 3790448 4622864 5685672 6934296 7580896 9245728 11371344 13868592 15161792 18491456 22742688 27737184 45485376 55474368 69631889 139263778 208895667 278527556 284017207 417791334 557055112 568034414 835582668 852051621 1114110224 1136068828 1671165336 1704103242 2228220448 2272137656 3342330672 3408206484 4456440896 4544275312 6684661344 6816412968 9088550624 13369322688 13632825936 18177101248 27265651872 54531303744 68448146887 136896293774 205344440661 273792587548 410688881322 547585175096 821377762644 1095170350192 1642755525288 2190340700384 3285511050576 4380681400768 6571022101152 13142044202304