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112377424140 = 22335208106341
BaseRepresentation
bin110100010101000110…
…1110110100100001100
3101202001202221122012000
41220222031312210030
53320122110033030
6123343034112300
711055550226112
oct1505215664414
9352052848160
10112377424140
1143728143053
1219942b7b690
13a79bc0cb57
145620c47ab2
152dcabae860
hex1a2a37690c

112377424140 has 48 divisors (see below), whose sum is σ = 349618654560. Its totient is φ = 29967312960.

The previous prime is 112377424067. The next prime is 112377424151. The reversal of 112377424140 is 41424773211.

112377424140 is a `hidden beast` number, since 1 + 1 + 2 + 377 + 4 + 241 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112377424095 and 112377424104.

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, 104052631 + ... + 104053710.

It is an arithmetic number, because the mean of its divisors is an integer number (7283721970).

Almost surely, 2112377424140 is an apocalyptic number.

112377424140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112377424140 is an abundant number, since it is smaller than the sum of its proper divisors (237241230420).

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

112377424140 is a wasteful number, since it uses less digits than its factorization.

112377424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208106359 (or 208106351 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 112377424140 in words is "one hundred twelve billion, three hundred seventy-seven million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 208106341 416212682 624319023 832425364 1040531705 1248638046 1872957069 2081063410 2497276092 3121595115 3745914138 4162126820 5618871207 6243190230 7491828276 9364785345 11237742414 12486380460 18729570690 22475484828 28094356035 37459141380 56188712070 112377424140