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142351929720 = 2332571113395027
BaseRepresentation
bin1000010010010011010…
…1100001000101111000
3111121102202021021210100
42010210311201011320
54313014043222340
6145221235515400
713166420303160
oct2044465410570
9447382237710
10142351929720
1155409a53810
1223709458b60
1310567c199a0
146c65b375a0
153a8244e830
hex2124d61178

142351929720 has 384 divisors, whose sum is σ = 621173629440. Its totient is φ = 27304197120.

The previous prime is 142351929701. The next prime is 142351929737. The reversal of 142351929720 is 27929153241.

142351929720 is a `hidden beast` number, since 1 + 4 + 2 + 351 + 9 + 297 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162847 + ... + 557873.

It is an arithmetic number, because the mean of its divisors is an integer number (1617639660).

Almost surely, 2142351929720 is an apocalyptic number.

142351929720 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 142351929720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310586814720).

142351929720 is an abundant number, since it is smaller than the sum of its proper divisors (478821699720).

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

142351929720 is a wasteful number, since it uses less digits than its factorization.

142351929720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395075 (or 395068 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 142351929720 in words is "one hundred forty-two billion, three hundred fifty-one million, nine hundred twenty-nine thousand, seven hundred twenty".