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256734256071414 = 231123361349130139
BaseRepresentation
bin111010010111111110011010…
…001000101000001011110110
31020200000112222201200000010010
4322113332122020220023312
5232122313224023241124
62310010031121441050
7105035303125136022
oct7227763210501366
91220015881600103
10256734256071414
117489242855aa00
122496499aaa0186
13b033c23552404
14475800badb382
151ea33a9321529
hexe97f9a2282f6

256734256071414 has 96 divisors (see below), whose sum is σ = 564739388357760. Its totient is φ = 77750253504000.

The previous prime is 256734256071383. The next prime is 256734256071439. The reversal of 256734256071414 is 414170652437652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8518325157 + ... + 8518355295.

It is an arithmetic number, because the mean of its divisors is an integer number (5882701962060).

Almost surely, 2256734256071414 is an apocalyptic number.

256734256071414 is an abundant number, since it is smaller than the sum of its proper divisors (308005132286346).

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

256734256071414 is a wasteful number, since it uses less digits than its factorization.

256734256071414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37018 (or 37007 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 256734256071414 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, two hundred fifty-six million, seventy-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 3361 3491 6722 6982 10083 10473 20166 20946 30139 36971 38401 60278 73942 76802 90417 110913 115203 180834 221826 230406 331529 406681 422411 663058 813362 844822 994587 1220043 1267233 1989174 2440086 2534466 3646819 7293638 10940457 11733251 21880914 23466502 35199753 70399506 101297179 105215249 129065761 202594358 210430498 258131522 303891537 315645747 387197283 607783074 631291494 774394566 1114268969 1157367739 1419723371 2228537938 2314735478 2839446742 3342806907 3472103217 4259170113 6685613814 6944206434 8518340226 12256958659 12731045129 24513917318 25462090258 36770875977 38193135387 73541751954 76386270774 353628451889 707256903778 1060885355667 2121770711334 3889912970779 7779825941558 11669738912337 23339477824674 42789042678569 85578085357138 128367128035707 256734256071414