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540541144908 = 2236631293773
BaseRepresentation
bin1111101110110101100…
…00110100111101001100
31220200020020112021000000
413313122300310331030
532324012013114113
61052153212404300
754024053631162
oct7673260647514
91820206467000
10540541144908
11199273425736
1288916176690
133bc8536010b
141c23b617232
15e0d9dae373
hex7ddac34f4c

540541144908 has 84 divisors (see below), whose sum is σ = 1420524200368. Its totient is φ = 179894221920.

The previous prime is 540541144903. The next prime is 540541144919. The reversal of 540541144908 is 809441145045.

540541144908 is a `hidden beast` number, since 5 + 4 + 0 + 541 + 14 + 4 + 90 + 8 = 666.

540541144908 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (540541144901) 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 27 ways as a sum of consecutive naturals, for example, 1693110 + ... + 1986882.

Almost surely, 2540541144908 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 540541144908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710262100184).

540541144908 is an abundant number, since it is smaller than the sum of its proper divisors (879983055460).

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

540541144908 is a wasteful number, since it uses less digits than its factorization.

540541144908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294426 (or 294409 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 540541144908 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty-four thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 631 729 972 1262 1458 1893 2524 2916 3786 5679 7572 11358 17037 22716 34074 51111 68148 102222 153333 204444 293773 306666 459999 587546 613332 881319 919998 1175092 1762638 1839996 2643957 3525276 5287914 7931871 10575828 15863742 23795613 31727484 47591226 71386839 95182452 142773678 185370763 214160517 285547356 370741526 428321034 556112289 741483052 856642068 1112224578 1668336867 2224449156 3336673734 5005010601 6673347468 10010021202 15015031803 20020042404 30030063606 45045095409 60060127212 90090190818 135135286227 180180381636 270270572454 540541144908