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540911514420 = 223253005063969
BaseRepresentation
bin1111101111100001101…
…01101011001100110100
31220201012001102222110100
413313300311223030310
532330241321430140
61052254042554100
754036202003524
oct7676065531464
91821161388410
10540911514420
111994434a2842
12889ba208930
133c013cc8984
141c2748a7684
15e10c66d530
hex7df0d6b334

540911514420 has 36 divisors (see below), whose sum is σ = 1640764927620. Its totient is φ = 144243070464.

The previous prime is 540911514419. The next prime is 540911514457. The reversal of 540911514420 is 24415119045.

540911514420 is a `hidden beast` number, since 54 + 0 + 91 + 1 + 514 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196619522724 + 344291991696 = 443418^2 + 586764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1502531805 + ... + 1502532164.

It is an arithmetic number, because the mean of its divisors is an integer number (45576803545).

Almost surely, 2540911514420 is an apocalyptic number.

It is an amenable number.

540911514420 is an abundant number, since it is smaller than the sum of its proper divisors (1099853413200).

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

540911514420 is a wasteful number, since it uses less digits than its factorization.

540911514420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005063984 (or 3005063979 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 540911514420 in words is "five hundred forty billion, nine hundred eleven million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3005063969 6010127938 9015191907 12020255876 15025319845 18030383814 27045575721 30050639690 36060767628 45075959535 54091151442 60101279380 90151919070 108182302884 135227878605 180303838140 270455757210 540911514420