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40795319680 = 275151422137
BaseRepresentation
bin100101111111100101…
…110010110110000000
310220022002120221222221
4211333211302312000
51132022100212210
630424025140424
72642642332033
oct457745626600
9126262527887
1040795319680
1116334992535
127aa632a714
133b01a8701b
141d9007901a
1510db7371da
hex97f972d80

40795319680 has 64 divisors (see below), whose sum is σ = 98172413280. Its totient is φ = 16210022400.

The previous prime is 40795319599. The next prime is 40795319693. The reversal of 40795319680 is 8691359704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114429 + ... + 307708.

Almost surely, 240795319680 is an apocalyptic number.

40795319680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40795319680 is an abundant number, since it is smaller than the sum of its proper divisors (57377093600).

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

40795319680 is a wasteful number, since it uses less digits than its factorization.

40795319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422307 (or 422295 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 40795319680 in words is "forty billion, seven hundred ninety-five million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 302 320 604 640 755 1208 1510 2416 3020 4832 6040 9664 12080 19328 24160 48320 96640 422137 844274 1688548 2110685 3377096 4221370 6754192 8442740 13508384 16885480 27016768 33770960 54033536 63742687 67541920 127485374 135083840 254970748 270167680 318713435 509941496 637426870 1019882992 1274853740 2039765984 2549707480 4079531968 5099414960 8159063936 10198829920 20397659840 40795319680