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14376141072 = 2432591692107
BaseRepresentation
bin11010110001110001…
…01000000100010000
31101002220020122010100
431120320220010100
5213420243003242
610334310332400
71016153116506
oct153070500420
941086218110
1014376141072
116107a58627
12295265a100
131481518767
149a542a676
1559218254c
hex358e28110

14376141072 has 60 divisors (see below), whose sum is σ = 40915171440. Its totient is φ = 4710823104.

The previous prime is 14376141071. The next prime is 14376141107. The reversal of 14376141072 is 27014167341.

14376141072 is a `hidden beast` number, since 1 + 4 + 37 + 614 + 1 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14376141071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837558 + ... + 854549.

It is an arithmetic number, because the mean of its divisors is an integer number (681919524).

Almost surely, 214376141072 is an apocalyptic number.

14376141072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14376141072 is an abundant number, since it is smaller than the sum of its proper divisors (26539030368).

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

14376141072 is a wasteful number, since it uses less digits than its factorization.

14376141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692180 (or 1692171 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14376141072 in words is "fourteen billion, three hundred seventy-six million, one hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 1692107 3384214 5076321 6768428 10152642 13536856 15228963 20305284 27073712 30457926 40610568 60915852 81221136 99834313 121831704 199668626 243663408 299502939 399337252 599005878 798674504 898508817 1198011756 1597349008 1797017634 2396023512 3594035268 4792047024 7188070536 14376141072