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141944703264 = 25347131921667
BaseRepresentation
bin1000010000110010010…
…0000100100100100000
3111120101101000001010000
42010030210010210200
54311200321001024
6145113011340000
713153344033060
oct2041444044440
9446341001100
10141944703264
11552200a2521
1223614bb1600
13105017480a0
146c27a113a0
153a5b80ecc9
hex210c904920

141944703264 has 720 divisors, whose sum is σ = 542581478208. Its totient is φ = 35444376576.

The previous prime is 141944703223. The next prime is 141944703281. The reversal of 141944703264 is 462307449141.

141944703264 is a `hidden beast` number, since 1 + 4 + 1 + 94 + 470 + 32 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85148959 + ... + 85150625.

Almost surely, 2141944703264 is an apocalyptic number.

141944703264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141944703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271290739104).

141944703264 is an abundant number, since it is smaller than the sum of its proper divisors (400636774944).

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

141944703264 is a wasteful number, since it uses less digits than its factorization.

141944703264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 141944703264 in words is "one hundred forty-one billion, nine hundred forty-four million, seven hundred three thousand, two hundred sixty-four".