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42232528224 = 2533411192201
BaseRepresentation
bin100111010101010000…
…010011110101100000
311001000020221201111000
4213111100103311200
51142443011400344
631222405352000
73023363365305
oct472520236540
9131006851430
1042232528224
1116a02185597
128227708600
133ca0762893
142088cb50ac
1511729cba69
hex9d5413d60

42232528224 has 96 divisors (see below), whose sum is σ = 126182659680. Its totient is φ = 13734144000.

The previous prime is 42232528181. The next prime is 42232528229. The reversal of 42232528224 is 42282523224.

42232528224 is a `hidden beast` number, since 422 + 3 + 2 + 5 + 2 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232528229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560677 + ... + 631524.

It is an arithmetic number, because the mean of its divisors is an integer number (1314402705).

Almost surely, 242232528224 is an apocalyptic number.

It is an amenable number.

42232528224 is an abundant number, since it is smaller than the sum of its proper divisors (83950131456).

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

42232528224 is a wasteful number, since it uses less digits than its factorization.

42232528224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192261 (or 1192247 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Subtracting 42232528224 from its reverse (42282523224), we obtain a triangular number (49995000 = T9999).

The spelling of 42232528224 in words is "forty-two billion, two hundred thirty-two million, five hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 1192201 2384402 3576603 4768804 7153206 9537608 10729809 14306412 19075216 21459618 28612824 32189427 38150432 42919236 48880241 57225648 64378854 85838472 97760482 114451296 128757708 146640723 171676944 195520964 257515416 293281446 343353888 391041928 439922169 515030832 586562892 782083856 879844338 1030061664 1173125784 1319766507 1564167712 1759688676 2346251568 2639533014 3519377352 4692503136 5279066028 7038754704 10558132056 14077509408 21116264112 42232528224