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242552314420 = 2251310722339097
BaseRepresentation
bin1110000111100100111…
…1101001101000110100
3212012001212222020011121
43201321033221220310
512433221343030140
6303232121513324
723344446440503
oct3417117515064
9765055866147
10242552314420
11939585048a9
123b012342844
1319b460b9850
14ba4d63a83a
15649906c64a
hex38793e9a34

242552314420 has 96 divisors (see below), whose sum is σ = 556164983808. Its totient is φ = 88320678912.

The previous prime is 242552314337. The next prime is 242552314481. The reversal of 242552314420 is 24413255242.

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, 6184312 + ... + 6223408.

It is an arithmetic number, because the mean of its divisors is an integer number (5793385248).

Almost surely, 2242552314420 is an apocalyptic number.

242552314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242552314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278082491904).

242552314420 is an abundant number, since it is smaller than the sum of its proper divisors (313612669388).

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

242552314420 is a wasteful number, since it uses less digits than its factorization.

242552314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39449 (or 39447 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 242552314420 its reverse (24413255242), we get a palindrome (266965569662).

The spelling of 242552314420 in words is "two hundred forty-two billion, five hundred fifty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 223 260 428 446 535 892 1070 1115 1391 2140 2230 2782 2899 4460 5564 5798 6955 11596 13910 14495 23861 27820 28990 39097 47722 57980 78194 95444 119305 156388 195485 238610 310193 390970 477220 508261 620386 781940 1016522 1240772 1550965 2033044 2541305 3101930 4183379 5082610 6203860 8366758 8718631 10165220 16733516 17437262 20916895 34874524 41833790 43593155 54383927 83667580 87186310 108767854 113342203 174372620 217535708 226684406 271919635 453368812 543839270 566711015 932893517 1087678540 1133422030 1865787034 2266844060 3731574068 4664467585 9328935170 12127615721 18657870340 24255231442 48510462884 60638078605 121276157210 242552314420