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114006001640 = 23523123919567
BaseRepresentation
bin110101000101101001…
…0011000011111101000
3101220021021101221112012
41222023102120133220
53331441014023030
6124212412135052
711144114011346
oct1521322303750
9356237357465
10114006001640
1144393463473
121a118467488
13a99b44028b
14573725a996
152e73b56095
hex1a8b4987e8

114006001640 has 32 divisors (see below), whose sum is σ = 267666266880. Its totient is φ = 43619687232.

The previous prime is 114006001633. The next prime is 114006001661. The reversal of 114006001640 is 46100600411.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 61958864 + ... + 61960703.

It is an arithmetic number, because the mean of its divisors is an integer number (8364570840).

Almost surely, 2114006001640 is an apocalyptic number.

114006001640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114006001640 is an abundant number, since it is smaller than the sum of its proper divisors (153660265240).

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

114006001640 is a wasteful number, since it uses less digits than its factorization.

114006001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123919601 (or 123919597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 114006001640 in words is "one hundred fourteen billion, six million, one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 123919567 247839134 495678268 619597835 991356536 1239195670 2478391340 2850150041 4956782680 5700300082 11400600164 14250750205 22801200328 28501500410 57003000820 114006001640