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42901222210944 = 27353239772849
BaseRepresentation
bin10011100000100101110000…
…00111000011110110000000
312121220022112221100200201220
421300102320013003312000
521110343200341222234
6231124314400555040
712015340164665406
oct1160227007036600
9177808487320656
1042901222210944
1112740340561939
12498a664622a80
131ac274c887c76
14a846047c3476
154e5e5c69ca49
hex2704b81c3d80

42901222210944 has 96 divisors (see below), whose sum is σ = 116147062941000. Its totient is φ = 14030588043264.

The previous prime is 42901222210943. The next prime is 42901222210949. The reversal of 42901222210944 is 44901222210924.

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

It is a super-2 number, since 2×429012222109442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42901222210896 and 42901222210905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42901222210943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18807769 + ... + 20965080.

Almost surely, 242901222210944 is an apocalyptic number.

It is an amenable number.

42901222210944 is an abundant number, since it is smaller than the sum of its proper divisors (73245840730056).

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

42901222210944 is an equidigital number, since it uses as much as digits as its factorization.

42901222210944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39772972 (or 39772907 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 42901222210944 in words is "forty-two trillion, nine hundred one billion, two hundred twenty-two million, two hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 2809 3392 5088 5618 6784 8427 10176 11236 16854 20352 22472 33708 44944 67416 89888 134832 179776 269664 359552 539328 1078656 39772849 79545698 119318547 159091396 238637094 318182792 477274188 636365584 954548376 1272731168 1909096752 2107960997 2545462336 3818193504 4215921994 5090924672 6323882991 7636387008 8431843988 12647765982 15272774016 16863687976 25295531964 33727375952 50591063928 67454751904 101182127856 111721932841 134909503808 202364255712 223443865682 269819007616 335165798523 404728511424 446887731364 670331597046 809457022848 893775462728 1340663194092 1787550925456 2681326388184 3575101850912 5362652776368 7150203701824 10725305552736 14300407403648 21450611105472 42901222210944