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243213122240 = 26511619111623
BaseRepresentation
bin1110001010000010100…
…0011011101011000000
3212020202221101202002022
43202200220123223000
512441100024402430
6303421445141012
723400022300064
oct3424050335300
9766687352068
10243213122240
1194167515570
123b1776ba768
1319c1cc85caa
14bab32d1aa4
1564d709c4e5
hex38a0a1bac0

243213122240 has 112 divisors (see below), whose sum is σ = 632827710720. Its totient is φ = 88297466880.

The previous prime is 243213122237. The next prime is 243213122263. The reversal of 243213122240 is 42221312342.

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, 2123069 + ... + 2234691.

Almost surely, 2243213122240 is an apocalyptic number.

243213122240 is a gapful number since it is divisible by the number (20) 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 243213122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316413855360).

243213122240 is an abundant number, since it is smaller than the sum of its proper divisors (389614588480).

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

243213122240 is a wasteful number, since it uses less digits than its factorization.

243213122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112270 (or 112260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 243213122240 its reverse (42221312342), we get a palindrome (285434434582).

The spelling of 243213122240 in words is "two hundred forty-three billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 619 704 880 1238 1760 2476 3095 3520 4952 6190 6809 9904 12380 13618 19808 24760 27236 34045 39616 49520 54472 68090 99040 108944 111623 136180 198080 217888 223246 272360 435776 446492 544720 558115 892984 1089440 1116230 1227853 1785968 2178880 2232460 2455706 3571936 4464920 4911412 6139265 7143872 8929840 9822824 12278530 17859680 19645648 24557060 35719360 39291296 49114120 69094637 78582592 98228240 138189274 196456480 276378548 345473185 392912960 552757096 690946370 760041007 1105514192 1381892740 1520082014 2211028384 2763785480 3040164028 3800205035 4422056768 5527570960 6080328056 7600410070 11055141920 12160656112 15200820140 22110283840 24321312224 30401640280 48642624448 60803280560 121606561120 243213122240