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540264044430 = 2325112393228049
BaseRepresentation
bin1111101110010100011…
…11110001011110001110
31220122111221010002121100
413313022033301132032
532322430043410210
61052105513243530
754014150415105
oct7671217613616
91818457102540
10540264044430
11199140a71a80
12888594035a6
133bc3cb1c436
141c2128c503c
15e0c08c55c0
hex7dca3f178e

540264044430 has 96 divisors (see below), whose sum is σ = 1533032373600. Its totient is φ = 130917795840.

The previous prime is 540264044389. The next prime is 540264044479. The reversal of 540264044430 is 34440462045.

540264044430 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 640 + 4 + 4 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×5402640444302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255046 + ... + 2483094.

It is an arithmetic number, because the mean of its divisors is an integer number (15969087225).

Almost surely, 2540264044430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540264044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766516186800).

540264044430 is an abundant number, since it is smaller than the sum of its proper divisors (992768329170).

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

540264044430 is a wasteful number, since it uses less digits than its factorization.

540264044430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230466 (or 230463 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 540264044430 in words is "five hundred forty billion, two hundred sixty-four million, forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2393 4786 7179 11965 14358 21537 23930 26323 35895 43074 52646 71790 78969 107685 131615 157938 215370 228049 236907 263230 394845 456098 473814 684147 789690 1140245 1184535 1368294 2052441 2280490 2369070 2508539 3420735 4104882 5017078 6841470 7525617 10262205 12542695 15051234 20524410 22576851 25085390 37628085 45153702 75256170 112884255 225768510 545721257 1091442514 1637163771 2728606285 3274327542 4911491313 5457212570 6002933827 8185818855 9822982626 12005867654 16371637710 18008801481 24557456565 30014669135 36017602962 49114913130 54026404443 60029338270 90044007405 108052808886 180088014810 270132022215 540264044430