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540051044000 = 25531310385597
BaseRepresentation
bin1111101101111011000…
…11001111011010100000
31220121222002022112221112
413312331203033122200
532322011031402000
61052032424042452
754005653063436
oct7667543173240
91817862275845
10540051044000
1119904180a666
12887ba003428
133bc07962990
141c1d24bad56
15e0abd4e235
hex7dbd8cf6a0

540051044000 has 96 divisors (see below), whose sum is σ = 1428975200016. Its totient is φ = 199403443200.

The previous prime is 540051043969. The next prime is 540051044017. The reversal of 540051044000 is 440150045.

It can be written as a sum of positive squares in 8 ways, for example, as 44789796496 + 495261247504 = 211636^2 + 703748^2 .

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, 5140799 + ... + 5244798.

Almost surely, 2540051044000 is an apocalyptic number.

540051044000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540051044000 is an abundant number, since it is smaller than the sum of its proper divisors (888924156016).

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

540051044000 is a wasteful number, since it uses less digits than its factorization.

540051044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385635 (or 10385617 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 540051044000 its reverse (440150045), we get a palindrome (540491194045).

The spelling of 540051044000 in words is "five hundred forty billion, fifty-one million, forty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 10385597 20771194 41542388 51927985 83084776 103855970 135012761 166169552 207711940 259639925 270025522 332339104 415423880 519279850 540051044 675063805 830847760 1038559700 1080102088 1298199625 1350127610 1661695520 2077119400 2160204176 2596399250 2700255220 3375319025 4154238800 4320408352 5192798500 5400510440 6750638050 8308477600 10385597000 10801020880 13501276100 16876595125 20771194000 21602041760 27002552200 33753190250 41542388000 54005104400 67506380500 108010208800 135012761000 270025522000 540051044000