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540020881040 = 24526172579389
BaseRepresentation
bin1111101101110111100…
…00001011011010010000
31220121212222120010010212
413312323300023122100
532321430321143130
61052025425343252
754005135515664
oct7667360133220
91817788503125
10540020881040
111990267887a3
12887aba97b28
133bc01631784
141c1cc4a88a4
15e0a9391e95
hex7dbbc0b690

540020881040 has 40 divisors (see below), whose sum is σ = 1256028801720. Its totient is φ = 215925728256.

The previous prime is 540020881033. The next prime is 540020881067. The reversal of 540020881040 is 40188020045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 378805782784 + 161215098256 = 615472^2 + 401516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 540020880988 and 540020881006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080335 + ... + 1499054.

It is an arithmetic number, because the mean of its divisors is an integer number (31400720043).

Almost surely, 2540020881040 is an apocalyptic number.

It is an amenable number.

540020881040 is an abundant number, since it is smaller than the sum of its proper divisors (716007920680).

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

540020881040 is a wasteful number, since it uses less digits than its factorization.

540020881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582019 (or 2582013 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 540020881040 in words is "five hundred forty billion, twenty million, eight hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2617 5234 10468 13085 20936 26170 41872 52340 104680 209360 2579389 5158778 10317556 12896945 20635112 25793890 41270224 51587780 103175560 206351120 6750261013 13500522026 27001044052 33751305065 54002088104 67502610130 108004176208 135005220260 270010440520 540020881040