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44354244245344 = 2511599722017539
BaseRepresentation
bin10100001010111000001101…
…11110001111011101100000
312211001020001112122220200121
422011130012332033131200
521303144443011322334
6234200020345530024
712225326343335215
oct1205340676173540
9184036045586617
1044354244245344
1113150590622370
124b841967a3914
131b9978335c497
14ad4a84c1db0c
1551db50649db4
hex285706f8f760

44354244245344 has 96 divisors (see below), whose sum is σ = 97874130211200. Its totient is φ = 19614984253440.

The previous prime is 44354244245323. The next prime is 44354244245347.

44354244245344 is nontrivially palindromic in base 10.

44354244245344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44354244245291 and 44354244245300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44354244245347) 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 15 ways as a sum of consecutive naturals, for example, 8994274 + ... + 13023265.

It is an arithmetic number, because the mean of its divisors is an integer number (1019522189700).

Almost surely, 244354244245344 is an apocalyptic number.

44354244245344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44354244245344 is an abundant number, since it is smaller than the sum of its proper divisors (53519885965856).

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

44354244245344 is a wasteful number, since it uses less digits than its factorization.

44354244245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22017716 (or 22017708 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 52.

The spelling of 44354244245344 in words is "forty-four trillion, three hundred fifty-four billion, two hundred forty-four million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 97 118 176 194 236 352 388 472 649 776 944 1067 1298 1552 1888 2134 2596 3104 4268 5192 5723 8536 10384 11446 17072 20768 22892 34144 45784 62953 91568 125906 183136 251812 503624 1007248 2014496 22017539 44035078 88070156 176140312 242192929 352280624 484385858 704561248 968771716 1299034801 1937543432 2135701283 2598069602 3875086864 4271402566 5196139204 7750173728 8542805132 10392278408 14289382811 17085610264 20784556816 23492714113 28578765622 34171220528 41569113632 46985428226 57157531244 68342441056 93970856452 114315062488 126006375697 187941712904 228630124976 252012751394 375883425808 457260249952 504025502788 751766851616 1008051005576 1386070132667 2016102011152 2772140265334 4032204022304 5544280530668 11088561061336 22177122122672 44354244245344