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140542418258304 = 2731931667608297
BaseRepresentation
bin11111111101001010010100…
…111010101000100110000000
3200102121201112202220001002120
4133331022110322220212000
5121410121333033231204
61214524143504444240
741413566066306126
oct3775122472504600
9612551482801076
10140542418258304
114086578319aa67
121391a08b619680
1360561299200aa
14269c409d31916
15113ac6e0876d9
hex7fd294ea8980

140542418258304 has 128 divisors (see below), whose sum is σ = 392977053705600. Its totient is φ = 44380341817344.

The previous prime is 140542418258287. The next prime is 140542418258311. The reversal of 140542418258304 is 403852814245041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 230738284 + ... + 231346580.

It is an arithmetic number, because the mean of its divisors is an integer number (3070133232075).

Almost surely, 2140542418258304 is an apocalyptic number.

It is an amenable number.

140542418258304 is an abundant number, since it is smaller than the sum of its proper divisors (252434635447296).

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

140542418258304 is a wasteful number, since it uses less digits than its factorization.

140542418258304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640000 (or 639988 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 140542418258304 in words is "one hundred forty trillion, five hundred forty-two billion, four hundred eighteen million, two hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 31667 63334 95001 126668 190002 253336 380004 506672 601673 608297 760008 1013344 1203346 1216594 1520016 1805019 1824891 2026688 2406692 2433188 3040032 3610038 3649782 4053376 4813384 4866376 6080064 7220076 7299564 9626768 9732752 11557643 12160128 14440152 14599128 19253536 19465504 23115286 28880304 29198256 34672929 38507072 38931008 46230572 57760608 58396512 69345858 77014144 77862016 92461144 115521216 116793024 138691716 184922288 231042432 233586048 277383432 369844576 554766864 739689152 1109533728 1479378304 2219067456 4438134912 19262941099 38525882198 57788823297 77051764396 115577646594 154103528792 231155293188 308207057584 365995880881 462310586376 616414115168 731991761762 924621172752 1097987642643 1232828230336 1463983523524 1849242345504 2195975285286 2465656460672 2927967047048 3698484691008 4391950570572 5855934094096 7396969382016 8783901141144 11711868188192 17567802282288 23423736376384 35135604564576 46847472752768 70271209129152 140542418258304