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242403891345 = 32571126359803
BaseRepresentation
bin1110000111000001100…
…1011101100010010001
3212011200112200112222200
43201300121131202101
512432420344010340
6303205300353413
723340665036250
oct3416031354221
9764615615880
10242403891345
119389174a400
123ab906a5869
1319b21420645
14ba37a42797
15648b000330
hex387065d891

242403891345 has 72 divisors (see below), whose sum is σ = 527812853568. Its totient is φ = 100739263680.

The previous prime is 242403891337. The next prime is 242403891407. The reversal of 242403891345 is 543198304242.

242403891345 is a `hidden beast` number, since 24 + 240 + 389 + 1 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 242403891345 - 23 = 242403891337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242403891345.

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 71 ways as a sum of consecutive naturals, for example, 3141787 + ... + 3218016.

Almost surely, 2242403891345 is an apocalyptic number.

It is an amenable number.

242403891345 is an abundant number, since it is smaller than the sum of its proper divisors (285408962223).

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

242403891345 is a wasteful number, since it uses less digits than its factorization.

242403891345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359843 (or 6359829 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 242403891345 in words is "two hundred forty-two billion, four hundred three million, eight hundred ninety-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 363 385 495 605 693 847 1089 1155 1815 2541 3465 4235 5445 7623 12705 38115 6359803 19079409 31799015 44518621 57238227 69957833 95397045 133555863 209873499 222593105 286191135 349789165 400667589 489704831 629620497 667779315 769536163 1049367495 1469114493 2003337945 2308608489 2448524155 3148102485 3847680815 4407343479 5386753141 6925825467 7345572465 11543042445 16160259423 22036717395 26933765705 34629127335 48480778269 80801297115 242403891345