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142907835420 = 223257172601653
BaseRepresentation
bin1000010100010111111…
…0001000010000011100
3111122212111022020001100
42011011332020100130
54320133401213140
6145352334513100
713216250362410
oct2050576102034
9448774266040
10142907835420
1155674824a09
1223843665790
131062614727c
146cb98c2d40
153ab615c530
hex2145f8841c

142907835420 has 432 divisors, whose sum is σ = 527952979008. Its totient is φ = 30645043200.

The previous prime is 142907835391. The next prime is 142907835451. The reversal of 142907835420 is 24538709241.

142907835420 is a `hidden beast` number, since 1 + 4 + 29 + 0 + 7 + 83 + 542 + 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 143 ways as a sum of consecutive naturals, for example, 218847814 + ... + 218848466.

Almost surely, 2142907835420 is an apocalyptic number.

142907835420 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 142907835420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263976489504).

142907835420 is an abundant number, since it is smaller than the sum of its proper divisors (385045143588).

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

142907835420 is a wasteful number, since it uses less digits than its factorization.

142907835420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 142907835420 in words is "one hundred forty-two billion, nine hundred seven million, eight hundred thirty-five thousand, four hundred twenty".