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240422115472 = 24711231572281
BaseRepresentation
bin1101111111101001000…
…1100101100010010000
3211222120102121220120021
43133322101211202100
512414341030143342
6302240504153224
723240612156110
oct3377221454220
9758512556507
10240422115472
1192a6501a900
123a718a68814
13198969872b6
14b8ca76d040
1563c203c567
hex37fa465890

240422115472 has 120 divisors (see below), whose sum is σ = 604036783616. Its totient is φ = 90649152000.

The previous prime is 240422115433. The next prime is 240422115487. The reversal of 240422115472 is 274511224042.

240422115472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133972 + ... + 706252.

Almost surely, 2240422115472 is an apocalyptic number.

240422115472 is a gapful number since it is divisible by the number (22) 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 240422115472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302018391808).

240422115472 is an abundant number, since it is smaller than the sum of its proper divisors (363614668144).

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

240422115472 is a wasteful number, since it uses less digits than its factorization.

240422115472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572349 (or 572332 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 240422115472 in words is "two hundred forty billion, four hundred twenty-two million, one hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 121 124 154 176 217 242 248 308 341 434 484 496 616 682 847 868 968 1232 1364 1694 1736 1936 2387 2728 3388 3472 3751 4774 5456 6776 7502 9548 13552 15004 19096 26257 30008 38192 52514 60016 105028 210056 420112 572281 1144562 2289124 4005967 4578248 6295091 8011934 9156496 12590182 16023868 17740711 25180364 32047736 35481422 44065637 50360728 64095472 69246001 70962844 88131274 100721456 124184977 138492002 141925688 176262548 195147821 248369954 276984004 283851376 352525096 390295642 484722007 496739908 553968008 705050192 780591284 969444014 993479816 1107936016 1366034747 1561182568 1938888028 1986959632 2146626031 2732069494 3122365136 3877776056 4293252062 5464138988 7755552112 8586504124 10928277976 15026382217 17173008248 21856555952 30052764434 34346016496 60105528868 120211057736 240422115472