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140596245774768 = 24373125395316307
BaseRepresentation
bin11111111101111100011101…
…010010010100000110110000
3200102210212111002212012020110
4133331330131102110012300
5121412012102404243033
61215005005035141320
741420513015534040
oct3775743522240660
9612725432765213
10140596245774768
1140886595448863
12139285b22a4840
13605b22763c954
1426a0c74b17720
15113c36e981363
hex7fdf1d4941b0

140596245774768 has 160 divisors (see below), whose sum is σ = 428652638126080. Its totient is φ = 38859219728640.

The previous prime is 140596245774701. The next prime is 140596245774769. The reversal of 140596245774768 is 867477542695041.

140596245774768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 140596245774768.

It is not an unprimeable number, because it can be changed into a prime (140596245774769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23788071 + ... + 29104377.

It is an arithmetic number, because the mean of its divisors is an integer number (2679078988288).

Almost surely, 2140596245774768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140596245774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214326319063040).

140596245774768 is an abundant number, since it is smaller than the sum of its proper divisors (288056392351312).

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

140596245774768 is a wasteful number, since it uses less digits than its factorization.

140596245774768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318895 (or 5318889 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 75.

The spelling of 140596245774768 in words is "one hundred forty trillion, five hundred ninety-six billion, two hundred forty-five million, seven hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2539 2604 3472 5078 5208 7617 10156 10416 15234 17773 20312 30468 35546 40624 53319 60936 71092 78709 106638 121872 142184 157418 213276 236127 284368 314836 426552 472254 550963 629672 853104 944508 1101926 1259344 1652889 1889016 2203852 3305778 3778032 4407704 5316307 6611556 8815408 10632614 13223112 15948921 21265228 26446224 31897842 37214149 42530456 63795684 74428298 85060912 111642447 127591368 148856596 164805517 223284894 255182736 297713192 329611034 446569788 494416551 595426384 659222068 893139576 988833102 1153638619 1318444136 1786279152 1977666204 2307277238 2636888272 3460915857 3955332408 4614554476 6921831714 7910664816 9229108952 13498103473 13843663428 18458217904 26996206946 27687326856 40494310419 53992413892 55374653712 80988620838 94486724311 107984827784 161977241676 188973448622 215969655568 283460172933 323954483352 377946897244 418441207663 566920345866 647908966704 755893794488 836882415326 1133840691732 1255323622989 1511787588976 1673764830652 2267681383464 2510647245978 2929088453641 3347529661304 4535362766928 5021294491956 5858176907282 6695059322608 8787265360923 10042588983912 11716353814564 17574530721846 20085177967824 23432707629128 35149061443692 46865415258256 70298122887384 140596245774768