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42053501527422 = 23711176178678129
BaseRepresentation
bin10011000111111010110000…
…00001010010010101111110
312111220021102211100001112020
421203331120001102111332
521003001032342334142
6225235040100421010
711600156654035230
oct1143753001222576
9174807384301466
1042053501527422
1112443876309320
1248723006a7766
131a60822151468
14a55586734250
154cdd94b9dcec
hex263f5805257e

42053501527422 has 128 divisors (see below), whose sum is σ = 111208916874240. Its totient is φ = 10263795548160.

The previous prime is 42053501527421. The next prime is 42053501527451. The reversal of 42053501527422 is 22472510535024.

42053501527422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053501527421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506854 + ... + 9184982.

It is an arithmetic number, because the mean of its divisors is an integer number (868819663080).

Almost surely, 242053501527422 is an apocalyptic number.

42053501527422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42053501527422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55604458437120).

42053501527422 is an abundant number, since it is smaller than the sum of its proper divisors (69155415346818).

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

42053501527422 is a wasteful number, since it uses less digits than its factorization.

42053501527422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678786.

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 42053501527422 in words is "forty-two trillion, fifty-three billion, five hundred one million, five hundred twenty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 617 714 1122 1234 1309 1851 2618 3702 3927 4319 6787 7854 8638 10489 12957 13574 20361 20978 25914 31467 40722 47509 62934 73423 95018 115379 142527 146846 220269 230758 285054 346137 440538 692274 807653 1615306 2422959 4845918 8678129 17356258 26034387 52068774 60746903 95459419 121493806 147528193 182240709 190918838 286378257 295056386 364481418 442584579 572756514 668215933 885169158 1032697351 1336431866 1622810123 2004647799 2065394702 3098092053 3245620246 4009295598 4868430369 5354405593 6196184106 9736860738 10708811186 11359670861 16063216779 22719341722 32126433558 34079012583 37480839151 58898461523 68158025166 74961678302 91024895081 112442517453 117796923046 176695384569 182049790162 224885034906 273074685243 353390769138 412289230661 546149370486 637174265567 824578461322 1001273845891 1236867691983 1274348531134 1911522796701 2002547691782 2473735383966 3003821537673 3823045593402 6007643075346 7008916921237 14017833842474 21026750763711 42053501527422