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242022344040 = 23335224094763
BaseRepresentation
bin1110000101100110100…
…1111110010101101000
3212010200221201221111000
43201121221332111220
512431130210002130
6303103350435000
723325352660401
oct3413151762550
9763627657430
10242022344040
1193706338254
123aaa4962a60
1319a903700c9
14b9dd0c29a8
156467784260
hex3859a7e568

242022344040 has 64 divisors (see below), whose sum is σ = 806741150400. Its totient is φ = 64539291456.

The previous prime is 242022344027. The next prime is 242022344063. The reversal of 242022344040 is 40443220242.

242022344040 is a `hidden beast` number, since 2 + 4 + 20 + 2 + 234 + 404 + 0 = 666.

242022344040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420223440402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242022343995 and 242022344013.

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, 112046302 + ... + 112048461.

It is an arithmetic number, because the mean of its divisors is an integer number (12605330475).

Almost surely, 2242022344040 is an apocalyptic number.

242022344040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242022344040 is an abundant number, since it is smaller than the sum of its proper divisors (564718806360).

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

242022344040 is a wasteful number, since it uses less digits than its factorization.

242022344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224094783 (or 224094773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 242022344040 its reverse (40443220242), we get a palindrome (282465564282).

The spelling of 242022344040 in words is "two hundred forty-two billion, twenty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 224094763 448189526 672284289 896379052 1120473815 1344568578 1792758104 2016852867 2240947630 2689137156 3361421445 4033705734 4481895260 5378274312 6050558601 6722842890 8067411468 8963790520 10084264335 12101117202 13445685780 16134822936 20168528670 24202234404 26891371560 30252793005 40337057340 48404468808 60505586010 80674114680 121011172020 242022344040