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242931043494 = 2321723110091493
BaseRepresentation
bin1110001000111111010…
…0011000110010100110
3212020001021121122210100
43202033310120302212
512440010321342434
6303333451204530
723360025541056
oct3421764306246
9766037548710
10242931043494
1194032271637
123b0b9146746
1319ba66c13a9
14ba87a65566
1564bc42d699
hex388fd18ca6

242931043494 has 144 divisors (see below), whose sum is σ = 578129235840. Its totient is φ = 73632706560.

The previous prime is 242931043483. The next prime is 242931043501. The reversal of 242931043494 is 494340139242.

242931043494 is a `hidden beast` number, since 2 + 4 + 293 + 10 + 4 + 349 + 4 = 666.

242931043494 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162712612 + ... + 162714104.

It is an arithmetic number, because the mean of its divisors is an integer number (4014786360).

Almost surely, 2242931043494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242931043494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289064617920).

242931043494 is an abundant number, since it is smaller than the sum of its proper divisors (335198192346).

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

242931043494 is a wasteful number, since it uses less digits than its factorization.

242931043494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 242931043494 in words is "two hundred forty-two billion, nine hundred thirty-one million, forty-three thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 289 306 527 558 578 867 1009 1054 1493 1581 1734 2018 2601 2986 3027 3162 4479 4743 5202 6054 8958 8959 9081 9486 13437 17153 17918 18162 25381 26874 26877 31279 34306 46283 50762 51459 53754 62558 76143 80631 92566 93837 102918 138849 152286 154377 161262 187674 228429 277698 281511 291601 308754 416547 431477 456858 531743 563022 583202 786811 833094 862954 874803 1063486 1294431 1506437 1573622 1595229 1749606 2360433 2588862 2624409 3012874 3190458 3883293 4519311 4720866 4785687 5248818 7081299 7766586 9038622 9039631 9571374 13375787 13557933 14162598 18079262 25609429 26751574 27115866 27118893 40127361 46699547 51218858 54237786 76828287 80254722 81356679 93399094 120382083 140098641 153656574 162713358 230484861 240764166 280197282 420295923 435360293 460969722 793892299 840591846 870720586 1306080879 1587784598 2381676897 2612161758 3918242637 4763353794 7145030691 7836485274 13496169083 14290061382 26992338166 40488507249 80977014498 121465521747 242931043494