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40048124560 = 2452296773229
BaseRepresentation
bin100101010011000011…
…011110001010010000
310211101000121111222121
4211103003132022100
51124004304441220
630221534144024
72615300304433
oct452303361220
9124330544877
1040048124560
1115a91138804
127918052014
133a13032132
141d1cb3781a
151095d40eaa
hex9530de290

40048124560 has 80 divisors (see below), whose sum is σ = 93685633200. Its totient is φ = 15920805888.

The previous prime is 40048124537. The next prime is 40048124563. The reversal of 40048124560 is 6542184004.

It can be written as a sum of positive squares in 8 ways, for example, as 7297259776 + 32750864784 = 85424^2 + 180972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40048124563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12401026 + ... + 12404254.

It is an arithmetic number, because the mean of its divisors is an integer number (1171070415).

Almost surely, 240048124560 is an apocalyptic number.

40048124560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40048124560 is an abundant number, since it is smaller than the sum of its proper divisors (53637508640).

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

40048124560 is a wasteful number, since it uses less digits than its factorization.

40048124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 40048124560 in words is "forty billion, forty-eight million, one hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 677 916 1145 1354 1832 2290 2708 3229 3385 3664 4580 5416 6458 6770 9160 10832 12916 13540 16145 18320 25832 27080 32290 51664 54160 64580 129160 155033 258320 310066 620132 739441 775165 1240264 1478882 1550330 2186033 2480528 2957764 3100660 3697205 4372066 5915528 6201320 7394410 8744132 10930165 11831056 12402640 14788820 17488264 21860330 29577640 34976528 43720660 59155280 87441320 174882640 500601557 1001203114 2002406228 2503007785 4004812456 5006015570 8009624912 10012031140 20024062280 40048124560