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13923504114 = 23131931378191
BaseRepresentation
bin11001111011110011…
…11100111111110010
31022221100112021221120
430331321330333302
5212003404112424
610221341003110
71002015555312
oct147571747762
938840467846
1013923504114
1159a55007a3
122846b53496
13140b807740
14961283442
15567572a79
hex33de7cff2

13923504114 has 128 divisors (see below), whose sum is σ = 33470545920. Its totient is φ = 3821126400.

The previous prime is 13923504113. The next prime is 13923504137. The reversal of 13923504114 is 41140532931.

It is not an unprimeable number, because it can be changed into a prime (13923504113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1695759 + ... + 1703949.

It is an arithmetic number, because the mean of its divisors is an integer number (261488640).

Almost surely, 213923504114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13923504114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735272960).

13923504114 is an abundant number, since it is smaller than the sum of its proper divisors (19547041806).

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

13923504114 is a wasteful number, since it uses less digits than its factorization.

13923504114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296.

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 13923504114 in words is "thirteen billion, nine hundred twenty-three million, five hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 31 37 38 39 57 62 74 78 93 111 114 186 222 247 403 481 494 589 703 741 806 962 1147 1178 1209 1406 1443 1482 1767 2109 2294 2418 2886 3441 3534 4218 6882 7657 8191 9139 14911 15314 16382 18278 21793 22971 24573 27417 29822 43586 44733 45942 49146 54834 65379 89466 106483 130758 155629 212966 253921 283309 303067 311258 319449 466887 507842 566618 606134 638898 761763 849927 909201 933774 1523526 1699854 1818402 2023177 3300973 3939871 4046354 4824499 5758273 6069531 6601946 7879742 9395077 9648998 9902919 11516546 11819613 12139062 14473497 17274819 18790154 19805838 23639226 28185231 28946994 34549638 56370462 62718487 74857549 122136001 125436974 149715098 178506463 188155461 224572647 244272002 357012926 366408003 376310922 449145294 535519389 732816006 1071038778 2320584019 4641168038 6961752057 13923504114