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242331423401312 = 25747343206067
BaseRepresentation
bin110111000110011000101110…
…011010001110010101100000
31011210000122202120000010111022
4313012120232122032111200
5223230324223342320222
62215221304040305012
7102020603402330000
oct6706305632162540
91153018676003438
10242331423401312
117023a1a7a40a53
1223219553472168
13a52a9a816479b
1443bac911c0000
151d038e2eda042
hexdc662e68e560

242331423401312 has 120 divisors (see below), whose sum is σ = 564196155933816. Its totient is φ = 102433632569856.

The previous prime is 242331423401311. The next prime is 242331423401317. The reversal of 242331423401312 is 213104324133242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242331423401311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15994298 + ... + 27211769.

Almost surely, 2242331423401312 is an apocalyptic number.

It is an amenable number.

242331423401312 is an abundant number, since it is smaller than the sum of its proper divisors (321864732532504).

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

242331423401312 is an frugal number, since it uses more digits than its factorization.

242331423401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43206178 (or 43206149 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 242331423401312 its reverse (213104324133242), we get a palindrome (455435747534554).

The spelling of 242331423401312 in words is "two hundred forty-two trillion, three hundred thirty-one billion, four hundred twenty-three million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 343 392 511 584 686 784 1022 1168 1372 1568 2044 2336 2401 2744 3577 4088 4802 5488 7154 8176 9604 10976 14308 16352 19208 25039 28616 38416 50078 57232 76832 100156 114464 175273 200312 350546 400624 701092 801248 1402184 2804368 5608736 43206067 86412134 172824268 302442469 345648536 604884938 691297072 1209769876 1382594144 2117097283 2419539752 3154042891 4234194566 4839079504 6308085782 8468389132 9678159008 12616171564 14819680981 16936778264 22078300237 25232343128 29639361962 33873556528 44156600474 50464686256 59278723924 67747113056 88313200948 100929372512 103737766867 118557447848 154548101659 176626401896 207475533734 237114895696 309096203318 353252803792 414951067468 474229791392 618192406636 706505607584 829902134936 1081836711613 1236384813272 1659804269872 2163673423226 2472769626544 3319608539744 4327346846452 4945539253088 7572856981291 8654693692904 15145713962582 17309387385808 30291427925164 34618774771616 60582855850328 121165711700656 242331423401312