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242119494816 = 2532800190071
BaseRepresentation
bin1110000101111101110…
…0100100110010100000
3212010221201112201021220
43201133130210302200
512431330042313231
6303121141015040
723330642514663
oct3413734446240
9763851481256
10242119494816
1193756163051
123ab113b4480
1319aa7526a84
14ba0bd716da
156471074896
hex385f724ca0

242119494816 has 48 divisors (see below), whose sum is σ = 635593428288. Its totient is φ = 80702720000.

The previous prime is 242119494779. The next prime is 242119494817. The reversal of 242119494816 is 618494911242.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (242119494817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2643061 + ... + 2733131.

It is an arithmetic number, because the mean of its divisors is an integer number (13241529756).

Almost surely, 2242119494816 is an apocalyptic number.

It is an amenable number.

242119494816 is an abundant number, since it is smaller than the sum of its proper divisors (393473933472).

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

242119494816 is a wasteful number, since it uses less digits than its factorization.

242119494816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118085 (or 118077 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 242119494816 in words is "two hundred forty-two billion, one hundred nineteen million, four hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 28001 56002 84003 90071 112004 168006 180142 224008 270213 336012 360284 448016 540426 672024 720568 896032 1080852 1344048 1441136 2161704 2688096 2882272 4323408 8646816 2522078071 5044156142 7566234213 10088312284 15132468426 20176624568 30264936852 40353249136 60529873704 80706498272 121059747408 242119494816