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114113315204 = 227314310130271
BaseRepresentation
bin110101001000110101…
…1110000000110000100
3101220112202100001001122
41222101223300012010
53332201002041304
6124231204213112
711146556114030
oct1522153600604
9356482301048
10114113315204
1144438a9a769
121a14839a198
13a9b7744925
1457475d31c0
152e7d2a29be
hex1a91af0184

114113315204 has 96 divisors (see below), whose sum is σ = 243462438912. Its totient is φ = 45768240000.

The previous prime is 114113315159. The next prime is 114113315243. The reversal of 114113315204 is 402513311411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754589 + ... + 3784859.

It is an arithmetic number, because the mean of its divisors is an integer number (2536067072).

Almost surely, 2114113315204 is an apocalyptic number.

114113315204 is a gapful number since it is divisible by the number (14) 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 114113315204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121731219456).

114113315204 is an abundant number, since it is smaller than the sum of its proper divisors (129349123708).

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

114113315204 is a wasteful number, since it uses less digits than its factorization.

114113315204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30457 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 114113315204 its reverse (402513311411), we get a palindrome (516626626615).

The spelling of 114113315204 in words is "one hundred fourteen billion, one hundred thirteen million, three hundred fifteen thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 43 62 86 101 124 172 202 217 301 404 434 602 707 868 1204 1333 1414 2666 2828 3131 4343 5332 6262 8686 9331 12524 17372 18662 21917 30271 30401 37324 43834 60542 60802 87668 121084 121604 134633 211897 269266 423794 538532 847588 938401 942431 1301653 1876802 1884862 2603306 3057371 3753604 3769724 5206612 6114742 6568807 9111571 12229484 13137614 18223142 21401597 26275228 36446284 40351243 42803194 80702486 85606388 94778501 131466953 161404972 189557002 262933906 282458701 379114004 525867812 564917402 663449507 920268671 1129834804 1326899014 1840537342 2653798028 3681074684 4075475543 8150951086 16301902172 28528328801 57056657602 114113315204