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242450911680 = 2635252553033
BaseRepresentation
bin1110000111001100110…
…0110101000111000000
3212011210211011102202120
43201303030311013000
512433014413133210
6303214100244240
723342105513625
oct3416314650700
9764724142676
10242450911680
119390624548a
123aba43a0680
1319b2b0a4723
14ba3dda234c
1564901dc270
hex38733351c0

242450911680 has 56 divisors (see below), whose sum is σ = 769781647632. Its totient is φ = 64653576192.

The previous prime is 242450911639. The next prime is 242450911699. The reversal of 242450911680 is 86119054242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126275557 + ... + 126277476.

Almost surely, 2242450911680 is an apocalyptic number.

242450911680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242450911680 is an abundant number, since it is smaller than the sum of its proper divisors (527330735952).

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

242450911680 is a wasteful number, since it uses less digits than its factorization.

242450911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252553053 (or 252553043 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 242450911680 in words is "two hundred forty-two billion, four hundred fifty million, nine hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 252553033 505106066 757659099 1010212132 1262765165 1515318198 2020424264 2525530330 3030636396 3788295495 4040848528 5051060660 6061272792 7576590990 8081697056 10102121320 12122545584 15153181980 16163394112 20204242640 24245091168 30306363960 40408485280 48490182336 60612727920 80816970560 121225455840 242450911680