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540256645040 = 24575991610591
BaseRepresentation
bin1111101110010011100…
…11100010111110110000
31220122111102012011112212
413313021303202332300
532322421200120130
61052105050511252
754014030466410
oct7671163427660
91818442164485
10540256645040
11199137878782
1288856a35528
133bc3b42b4b8
141c21191a640
15e0bee12e95
hex7dc9ce2fb0

540256645040 has 80 divisors (see below), whose sum is σ = 1437936537600. Its totient is φ = 184921501440.

The previous prime is 540256645031. The next prime is 540256645069. The reversal of 540256645040 is 40546652045.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 469856 + ... + 1140735.

It is an arithmetic number, because the mean of its divisors is an integer number (17974206720).

Almost surely, 2540256645040 is an apocalyptic number.

It is an amenable number.

540256645040 is an abundant number, since it is smaller than the sum of its proper divisors (897679892560).

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

540256645040 is a wasteful number, since it uses less digits than its factorization.

540256645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611210 (or 1611204 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 540256645040 in words is "five hundred forty billion, two hundred fifty-six million, six hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 599 1198 2396 2995 4193 4792 5990 8386 9584 11980 16772 20965 23960 33544 41930 47920 67088 83860 167720 335440 1610591 3221182 6442364 8052955 11274137 12884728 16105910 22548274 25769456 32211820 45096548 56370685 64423640 90193096 112741370 128847280 180386192 225482740 450965480 901930960 964744009 1929488018 3858976036 4823720045 6753208063 7717952072 9647440090 13506416126 15435904144 19294880180 27012832252 33766040315 38589760360 54025664504 67532080630 77179520720 108051329008 135064161260 270128322520 540256645040