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321361047037264 = 241317748712138727
BaseRepresentation
bin100100100010001101011001…
…1000011011010010101010000
31120010211211000220112100121011
41021010122303003122111100
5314110134411020143024
63055251121003540304
7124455366216450013
oct11104326303322520
91503754026470534
10321361047037264
1193439500207363
1230061b1052a694
1310a412a8139030
14594dd59ba537a
152724511c41094
hex12446b30da550

321361047037264 has 80 divisors (see below), whose sum is σ = 710070140602368. Its totient is φ = 139577092356096.

The previous prime is 321361047037183. The next prime is 321361047037343. The reversal of 321361047037264 is 462730740163123.

It is a happy number.

It is a super-2 number, since 2×3213610470372642 (a number of 30 digits) contains 22 as substring.

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, 20404669 + ... + 32543395.

Almost surely, 2321361047037264 is an apocalyptic number.

321361047037264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321361047037264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355035070301184).

321361047037264 is an abundant number, since it is smaller than the sum of its proper divisors (388709093565104).

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

321361047037264 is a wasteful number, since it uses less digits than its factorization.

321361047037264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146252 (or 12146246 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 49.

The spelling of 321361047037264 in words is "three hundred twenty-one trillion, three hundred sixty-one billion, forty-seven million, thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 7487 14974 29948 59896 97331 119792 127279 194662 254558 389324 509116 778648 1018232 1557296 1654627 2036464 3309254 6618508 12138727 13237016 24277454 26474032 48554908 97109816 157803451 194219632 206358359 315606902 412716718 631213804 825433436 1262427608 1650866872 2524855216 2682658667 3301733744 5365317334 10730634668 21461269336 42922538672 90882649049 181765298098 363530596196 727061192392 1181474437637 1454122384784 1545005033833 2362948875274 3090010067666 4725897750548 6180020135332 9451795501096 12360040270664 18903591002192 20085065439829 24720080541328 40170130879658 80340261759316 160680523518632 321361047037264