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541022540344 = 231121351478353
BaseRepresentation
bin1111101111101110111…
…01001101001000111000
31220201110210100200101121
413313313131031020320
532331003232242334
61052313050355024
754042020500336
oct7676735151070
91821423320347
10541022540344
111994a0135200
1288a2b42ba74
133c030cccca0
141c285528b56
15e11729edb4
hex7df774d238

541022540344 has 96 divisors (see below), whose sum is σ = 1201168528560. Its totient is φ = 226931189760.

The previous prime is 541022540339. The next prime is 541022540347. The reversal of 541022540344 is 443045220145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541022540347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64765672 + ... + 64774024.

Almost surely, 2541022540344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541022540344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600584264280).

541022540344 is an abundant number, since it is smaller than the sum of its proper divisors (660145988216).

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

541022540344 is a wasteful number, since it uses less digits than its factorization.

541022540344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 541022540344 its reverse (443045220145), we get a palindrome (984067760489).

The spelling of 541022540344 in words is "five hundred forty-one billion, twenty-two million, five hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 5147 6292 8353 10294 12584 16706 20588 33412 41176 56617 66824 66911 91883 108589 113234 133822 183766 217178 226468 267644 367532 434356 452936 535288 622787 735064 736021 868712 1010713 1194479 1245574 1472042 2021426 2388958 2491148 2944084 4042852 4777916 4982296 5888168 8085704 8096231 9555832 13139269 16192462 26278538 32384924 42992891 52557076 64769848 85985782 105114152 171971564 343943128 472921801 558907583 945843602 1117815166 1891687204 2235630332 3783374408 4471260664 5202139811 6147983413 10404279622 12295966826 20808559244 24591933652 41617118488 49183867304 67627817543 135255635086 270511270172 541022540344