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240534201212240 = 245133150914657639
BaseRepresentation
bin110110101100001110111011…
…100111101001110101010000
31011112122211211001101101020212
4312230032323213221311100
5223011403021002242430
62211323515255423252
7101444010510640025
oct6654167347516520
91145584731341225
10240534201212240
116a706a88963881
1222b89181384b28
13a42a37c57abb0
144357cbb6db54c
151cc1ca7286b95
hexdac3bb9e9d50

240534201212240 has 160 divisors (see below), whose sum is σ = 622909831219200. Its totient is φ = 85778842798080.

The previous prime is 240534201212233. The next prime is 240534201212243. The reversal of 240534201212240 is 42212102435042.

It is a junction number, because it is equal to n+sod(n) for n = 240534201212197 and 240534201212206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240534201212243) 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, 9081341 + ... + 23738979.

It is an arithmetic number, because the mean of its divisors is an integer number (3893186445120).

Almost surely, 2240534201212240 is an apocalyptic number.

240534201212240 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 240534201212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311454915609600).

240534201212240 is an abundant number, since it is smaller than the sum of its proper divisors (382375630006960).

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

240534201212240 is a wasteful number, since it uses less digits than its factorization.

240534201212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658205 (or 14658199 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 240534201212240 its reverse (42212102435042), we get a palindrome (282746303647282).

The spelling of 240534201212240 in words is "two hundred forty trillion, five hundred thirty-four billion, two hundred one million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 509 520 620 806 1018 1040 1240 1612 2015 2036 2480 2545 3224 4030 4072 5090 6448 6617 8060 8144 10180 13234 15779 16120 20360 26468 31558 32240 33085 40720 52936 63116 66170 78895 105872 126232 132340 157790 205127 252464 264680 315580 410254 529360 631160 820508 1025635 1262320 1641016 2051270 3282032 4102540 8205080 14657639 16410160 29315278 58630556 73288195 117261112 146576390 190549307 234522224 293152780 381098614 454386809 586305560 762197228 908773618 952746535 1172611120 1524394456 1817547236 1905493070 2271934045 3048788912 3635094472 3810986140 4543868090 5907028517 7270188944 7460738251 7621972280 9087736180 11814057034 14921476502 15243944560 18175472360 23628114068 29535142585 29842953004 36350944720 37303691255 47256228136 59070285170 59685906008 74607382510 94512456272 96989597263 118140570340 119371812016 149214765020 193979194526 231282885781 236281140680 298429530040 387958389052 462565771562 472562281360 484947986315 596859060080 775916778104 925131543124 969895972630 1156414428905 1551833556208 1850263086248 1939791945260 2312828857810 3006677515153 3700526172496 3879583890520 4625657715620 6013355030306 7759167781040 9251315431240 12026710060612 15033387575765 18502630862480 24053420121224 30066775151530 48106840242448 60133550303060 120267100606120 240534201212240