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114413577552 = 24321934116781
BaseRepresentation
bin110101010001110010…
…1001010010101010000
3101221022200022221120100
41222203211022111100
53333304333440202
6124321052012400
711160163235331
oct1524345122520
9357280287510
10114413577552
114458253326a
121a210a61100
13aa34a04c61
145775434288
152e9981441c
hex1aa394a550

114413577552 has 60 divisors (see below), whose sum is σ = 321858250324. Its totient is φ = 37940244480.

The previous prime is 114413577527. The next prime is 114413577631. The reversal of 114413577552 is 255775314411.

114413577552 is a `hidden beast` number, since 1 + 1 + 4 + 41 + 3 + 57 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8400822336 + 106012755216 = 91656^2 + 325596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114413577498 and 114413577507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2030599 + ... + 2086182.

Almost surely, 2114413577552 is an apocalyptic number.

114413577552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114413577552 is an abundant number, since it is smaller than the sum of its proper divisors (207444672772).

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

114413577552 is a wasteful number, since it uses less digits than its factorization.

114413577552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116988 (or 4116979 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 114413577552 in words is "one hundred fourteen billion, four hundred thirteen million, five hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 13896 27792 4116781 8233562 12350343 16467124 24700686 32934248 37051029 49401372 65868496 74102058 98802744 148204116 197605488 296408232 592816464 794538733 1589077466 2383616199 3178154932 4767232398 6356309864 7150848597 9534464796 12712619728 14301697194 19068929592 28603394388 38137859184 57206788776 114413577552