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142456682676 = 2237112234189167
BaseRepresentation
bin1000010010101100010…
…1000111100010110100
3111121201001101021211110
42010223011013202310
54313222402321201
6145235501035020
713202131552320
oct2045305074264
9447631337743
10142456682676
11554630a1200
1223738555a70
1310583835999
146c75a04980
153a8b7426d6
hex212b1478b4

142456682676 has 576 divisors, whose sum is σ = 454058680320. Its totient is φ = 33937305600.

The previous prime is 142456682657. The next prime is 142456682723. The reversal of 142456682676 is 676286654241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 853033945 + ... + 853034111.

It is an arithmetic number, because the mean of its divisors is an integer number (788296320).

Almost surely, 2142456682676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142456682676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227029340160).

142456682676 is an abundant number, since it is smaller than the sum of its proper divisors (311601997644).

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

142456682676 is a wasteful number, since it uses less digits than its factorization.

142456682676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 142456682676 in words is "one hundred forty-two billion, four hundred fifty-six million, six hundred eighty-two thousand, six hundred seventy-six".