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13830042153858 = 237321131848991
BaseRepresentation
bin1100100101000000111010…
…1111111111001110000010
31210222010202102020210212020
43021100032233333032002
53303042411242410413
645225233400342310
72625121223451000
oct311201657771602
953863672223766
1013830042153858
11445231927a317
121674431174996
13794223968b98
1435b540249a70
1518eb4012cc23
hexc940ebff382

13830042153858 has 64 divisors (see below), whose sum is σ = 32409534259200. Its totient is φ = 3932713285200.

The previous prime is 13830042153853. The next prime is 13830042153883. The reversal of 13830042153858 is 85835124003831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13830042153858.

It is not an unprimeable number, because it can be changed into a prime (13830042153853) 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 31 ways as a sum of consecutive naturals, for example, 15490258 + ... + 16358733.

It is an arithmetic number, because the mean of its divisors is an integer number (506398972800).

Almost surely, 213830042153858 is an apocalyptic number.

13830042153858 is an abundant number, since it is smaller than the sum of its proper divisors (18579492105342).

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

13830042153858 is a wasteful number, since it uses less digits than its factorization.

13830042153858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31849228 (or 31849214 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 13830042153858 in words is "thirteen trillion, eight hundred thirty billion, forty-two million, one hundred fifty-three thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 211 294 343 422 633 686 1029 1266 1477 2058 2954 4431 8862 10339 20678 31017 62034 72373 144746 217119 434238 31848991 63697982 95546973 191093946 222942937 445885874 668828811 1337657622 1560600559 3121201118 4681801677 6720137101 9363603354 10924203913 13440274202 20160411303 21848407826 32772611739 40320822606 47040959707 65545223478 94081919414 141122879121 282245758242 329286717949 658573435898 987860153847 1975720307694 2305007025643 4610014051286 6915021076929 13830042153858