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114314257576 = 23233143146499
BaseRepresentation
bin110101001110110101…
…0010010010010101000
3101221001202102222011201
41222131222102102220
53333103422220301
6124303143133544
711154546104611
oct1523552222250
9357052388151
10114314257576
1144531466742
121a1a37442b4
13aa1a26bb3c
14576617cc08
152e90c46201
hex1a9da924a8

114314257576 has 64 divisors (see below), whose sum is σ = 231413760000. Its totient is φ = 52784529600.

The previous prime is 114314257567. The next prime is 114314257591. The reversal of 114314257576 is 675752413411.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2435175 + ... + 2481673.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840000).

Almost surely, 2114314257576 is an apocalyptic number.

It is an amenable number.

114314257576 is an abundant number, since it is smaller than the sum of its proper divisors (117099502424).

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

114314257576 is a wasteful number, since it uses less digits than its factorization.

114314257576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46990 (or 46986 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The spelling of 114314257576 in words is "one hundred fourteen billion, three hundred fourteen million, two hundred fifty-seven thousand, five hundred seventy-six".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 431 713 862 1426 1724 2852 3448 5704 9913 13361 19826 26722 39652 46499 53444 79304 92998 106888 185996 307303 371992 614606 1069477 1229212 1441469 2138954 2458424 2882938 4277908 5765876 8555816 11531752 20041069 33153787 40082138 66307574 80164276 132615148 160328552 265230296 460944587 621273139 921889174 1242546278 1843778348 2485092556 3687556696 4970185112 14289282197 28578564394 57157128788 114314257576