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142324798831632 = 24361728311092287
BaseRepresentation
bin100000010111000110010011…
…000100111011110000010000
3200122221010011221101121000000
4200113012103010323300100
5122123322142000103012
61222411035430130000
741656425123226254
oct4027062304736020
9618833157347000
10142324798831632
11413926765a45aa
1213b675bb1b0900
13615522b733b31
1427207b265c264
15116c2dbd5eddc
hex81719313bc10

142324798831632 has 560 divisors, whose sum is σ = 439897708673280. Its totient is φ = 44433582870528.

The previous prime is 142324798831613. The next prime is 142324798831661. The reversal of 142324798831632 is 236138897423241.

It is a happy number.

142324798831632 is a `hidden beast` number, since 1 + 4 + 2 + 324 + 79 + 8 + 83 + 163 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142324798831632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62232092793 + ... + 62232095079.

Almost surely, 2142324798831632 is an apocalyptic number.

142324798831632 is a gapful number since it is divisible by the number (12) 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 142324798831632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219948854336640).

142324798831632 is an abundant number, since it is smaller than the sum of its proper divisors (297572909841648).

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

142324798831632 is a wasteful number, since it uses less digits than its factorization.

142324798831632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3701 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 142324798831632 in words is "one hundred forty-two trillion, three hundred twenty-four billion, seven hundred ninety-eight million, eight hundred thirty-one thousand, six hundred thirty-two".