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142432926695424 = 23033173
BaseRepresentation
bin100000011000101011000000…
…000000000000000000000000
3200200022110021120001012022000
4200120223000000000000000
5122132110113213223144
61222532441101344000
742000303463010541
oct4030530000000000
9620273246035260
10142432926695424
11414245129a0002
1213b84556b68000
1361624a1104a21
142725b0cd4c4c8
151170019900769
hex818ac0000000

142432926695424 has 496 divisors, whose sum is σ = 448394585493600. Its totient is φ = 44684839747584.

The previous prime is 142432926695393. The next prime is 142432926695429. The reversal of 142432926695424 is 424596629234241.

The cubic root of 142432926695424 is 52224.

It is a perfect power (a cube), and thus also a powerful number.

142432926695424 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 2 + 9 + 26 + 69 + 542 + 4 = 666.

Its product of digits (179159040) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (142432926695429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8378407452664 + ... + 8378407452680.

Almost surely, 2142432926695424 is an apocalyptic number.

142432926695424 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142432926695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224197292746800).

142432926695424 is an abundant number, since it is smaller than the sum of its proper divisors (305961658798176).

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

142432926695424 is an frugal number, since it uses more digits than its factorization.

142432926695424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 22 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 142432926695424 in words is "one hundred forty-two trillion, four hundred thirty-two billion, nine hundred twenty-six million, six hundred ninety-five thousand, four hundred twenty-four".