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42914152512 = 2634711107509
BaseRepresentation
bin100111111101111000…
…100000000001000000
311002202202112211020000
4213331320200001000
51200342010340022
631414155120000
73046311164160
oct477570400100
9132682484200
1042914152512
1117221a13a50
128397a43000
13407ba39c6a
1421116285a0
1511b276e6ac
hex9fde20040

42914152512 has 280 divisors, whose sum is σ = 158602192320. Its totient is φ = 11146429440.

The previous prime is 42914152481. The next prime is 42914152529. The reversal of 42914152512 is 21525141924.

42914152512 is a `hidden beast` number, since 4 + 2 + 91 + 4 + 1 + 52 + 512 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345414 + ... + 452922.

Almost surely, 242914152512 is an apocalyptic number.

42914152512 is a gapful number since it is divisible by the number (42) 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 42914152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79301096160).

42914152512 is an abundant number, since it is smaller than the sum of its proper divisors (115688039808).

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

42914152512 is a wasteful number, since it uses less digits than its factorization.

42914152512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107551 (or 107532 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 42914152512 in words is "forty-two billion, nine hundred fourteen million, one hundred fifty-two thousand, five hundred twelve".