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142939883520 = 211345723517
BaseRepresentation
bin1000010100011111100…
…0011000100000000000
3111122221201121102210000
42011013320120200000
54320220102233040
6145355441440000
713220116651200
oct2050770304000
9448851542700
10142939883520
1155690924145
1223852340000
131062c988545
146cbdc66400
153ab8d8d130
hex2147e18800

142939883520 has 720 divisors, whose sum is σ = 596157782220. Its totient is φ = 32662683648.

The previous prime is 142939883501. The next prime is 142939883521. The reversal of 142939883520 is 25388939241.

142939883520 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 39 + 8 + 83 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136107869184 + 6832014336 = 368928^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1429398835202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142939883521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40640802 + ... + 40644318.

Almost surely, 2142939883520 is an apocalyptic number.

142939883520 is a gapful number since it is divisible by the number (10) 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 142939883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298078891110).

142939883520 is an abundant number, since it is smaller than the sum of its proper divisors (453217898700).

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

142939883520 is an equidigital number, since it uses as much as digits as its factorization.

142939883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 142939883520 in words is "one hundred forty-two billion, nine hundred thirty-nine million, eight hundred eighty-three thousand, five hundred twenty".