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240400141342144 = 2671759535002451
BaseRepresentation
bin110110101010010010000101…
…000001110101010111000000
31011112012000210012002100211221
4312222102011001311113000
5223002203442140422034
62211142144511244424
7101431223415562510
oct6652220501652700
91145160705070757
10240400141342144
116a665144629203
1222b671a8b19714
13a41a836551b84
144351600d75840
151cbd55ccc3bb4
hexdaa4850755c0

240400141342144 has 112 divisors (see below), whose sum is σ = 587047490530560. Its totient is φ = 95324596531200.

The previous prime is 240400141342043. The next prime is 240400141342177. The reversal of 240400141342144 is 441243141004042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267051882 + ... + 267950569.

Almost surely, 2240400141342144 is an apocalyptic number.

It is an amenable number.

240400141342144 is an abundant number, since it is smaller than the sum of its proper divisors (346647349188416).

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

240400141342144 is a wasteful number, since it uses less digits than its factorization.

240400141342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535002546 (or 535002536 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 240400141342144 its reverse (441243141004042), we get a palindrome (681643282346186).

The spelling of 240400141342144 in words is "two hundred forty trillion, four hundred billion, one hundred forty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 64 68 112 118 119 136 224 236 238 272 413 448 472 476 544 826 944 952 1003 1088 1652 1888 1904 2006 3304 3776 3808 4012 6608 7021 7616 8024 13216 14042 16048 26432 28084 32096 56168 64192 112336 224672 449344 535002451 1070004902 2140009804 3745017157 4280019608 7490034314 8560039216 9095041667 14980068628 17120078432 18190083334 29960137256 31565144609 34240156864 36380166668 59920274512 63130289218 63665291669 72760333336 119840549024 126260578436 127330583338 145520666672 220956012263 239681098048 252521156872 254661166676 291041333344 441912024526 505042313744 509322333352 536607458353 582082666688 883824049052 1010084627488 1018644666704 1073214916706 1767648098104 2020169254976 2037289333408 2146429833412 3535296196208 3756252208471 4074578666816 4292859666824 7070592392416 7512504416942 8585719333648 14141184784832 15025008833884 17171438667296 30050017667768 34342877334592 60100035335536 120200070671072 240400141342144