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242330790936 = 2331317411114349
BaseRepresentation
bin1110000110110000001…
…0100110110000011000
3212011111110010200002010
43201230002212300120
512432243140302221
6303154125505520
723336116510443
oct3415402466030
9764443120063
10242330790936
1193854460a43
123ab701122a0
1319b0c237870
14ba2c05465a
1564848b0c76
hex386c0a6c18

242330790936 has 128 divisors (see below), whose sum is σ = 707656824000. Its totient is φ = 68465541120.

The previous prime is 242330790917. The next prime is 242330790979. The reversal of 242330790936 is 639097033242.

It is a super-3 number, since 3×2423307909363 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339711 + ... + 774638.

Almost surely, 2242330790936 is an apocalyptic number.

242330790936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

242330790936 is an abundant number, since it is smaller than the sum of its proper divisors (465326033064).

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

242330790936 is a wasteful number, since it uses less digits than its factorization.

242330790936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114429 (or 1114425 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 242330790936 in words is "two hundred forty-two billion, three hundred thirty million, seven hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 41 51 52 68 78 82 102 104 123 136 156 164 204 221 246 312 328 408 442 492 533 663 697 884 984 1066 1326 1394 1599 1768 2091 2132 2652 2788 3198 4182 4264 5304 5576 6396 8364 9061 12792 16728 18122 27183 36244 54366 72488 108732 217464 1114349 2228698 3343047 4457396 6686094 8914792 13372188 14486537 18943933 26744376 28973074 37887866 43459611 45688309 56831799 57946148 75775732 86919222 91376618 113663598 115892296 137064927 151551464 173838444 182753236 227327196 246271129 274129854 347676888 365506472 454654392 492542258 548259708 593948017 738813387 776701253 985084516 1096519416 1187896034 1477626774 1553402506 1781844051 1970169032 2330103759 2375792068 2955253548 3106805012 3563688102 4660207518 4751584136 5910507096 6213610024 7127376204 9320415036 10097116289 14254752408 18640830072 20194232578 30291348867 40388465156 60582697734 80776930312 121165395468 242330790936