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142232200264 = 237112237103217
BaseRepresentation
bin1000010001110110110…
…0110010010001001000
3111121010101222101212001
42010131230302101020
54312242420402024
6145201321400344
713163434516540
oct2043554622110
9447111871761
10142232200264
1155358407250
12236953390b4
1310549188c5b
146c53c8c320
153a76b9e244
hex211db32448

142232200264 has 64 divisors (see below), whose sum is σ = 332642712960. Its totient is φ = 55389834240.

The previous prime is 142232200247. The next prime is 142232200387. The reversal of 142232200264 is 462002232241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326384 + ... + 1429600.

It is an arithmetic number, because the mean of its divisors is an integer number (5197542390).

Almost surely, 2142232200264 is an apocalyptic number.

142232200264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142232200264 is an abundant number, since it is smaller than the sum of its proper divisors (190410512696).

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

142232200264 is a wasteful number, since it uses less digits than its factorization.

142232200264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105478 (or 105474 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 142232200264 in words is "one hundred forty-two billion, two hundred thirty-two million, two hundred thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 2237 4474 8948 15659 17896 24607 31318 49214 62636 98428 103217 125272 172249 196856 206434 344498 412868 688996 722519 825736 1135387 1377992 1445038 2270774 2890076 4541548 5780152 7947709 9083096 15895418 31790836 63581672 230896429 461792858 923585716 1616275003 1847171432 2539860719 3232550006 5079721438 6465100012 10159442876 12930200024 17779025033 20318885752 35558050066 71116100132 142232200264