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114500235040 = 2551937664551
BaseRepresentation
bin110101010100010111…
…1101110111100100000
3101221112201101121021221
41222220233232330200
53333444030010130
6124333425224424
711162264640142
oct1525057567440
9357481347257
10114500235040
1144617441324
121a235a92114
13aa49956689
145782b50c92
152ea223087a
hex1aa8beef20

114500235040 has 48 divisors (see below), whose sum is σ = 284744013120. Its totient is φ = 43389561600.

The previous prime is 114500235007. The next prime is 114500235061. The reversal of 114500235040 is 40532005411.

It is a happy number.

It is a super-2 number, since 2×1145002350402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114500234996 and 114500235014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18829236 + ... + 18835315.

It is an arithmetic number, because the mean of its divisors is an integer number (5932166940).

Almost surely, 2114500235040 is an apocalyptic number.

114500235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114500235040 is an abundant number, since it is smaller than the sum of its proper divisors (170243778080).

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

114500235040 is a wasteful number, since it uses less digits than its factorization.

114500235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37664585 (or 37664577 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 114500235040 in words is "one hundred fourteen billion, five hundred million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 37664551 75329102 150658204 188322755 301316408 376645510 602632816 715626469 753291020 1205265632 1431252938 1506582040 2862505876 3013164080 3578132345 5725011752 6026328160 7156264690 11450023504 14312529380 22900047008 28625058760 57250117520 114500235040