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40982112960 = 2635283150847
BaseRepresentation
bin100110001010101110…
…010110101011000000
310220210010002001012120
4212022232112223000
51132412410103320
630454340524240
72650401132615
oct461256265300
9126703061176
1040982112960
1116420375048
127b389b0680
133b31698ca9
141daabc050c
1510ecd33440
hex98ab96ac0

40982112960 has 112 divisors (see below), whose sum is σ = 130578855936. Its totient is φ = 10889874432.

The previous prime is 40982112953. The next prime is 40982113033. The reversal of 40982112960 is 6921128904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196257 + ... + 347103.

Almost surely, 240982112960 is an apocalyptic number.

40982112960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40982112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65289427968).

40982112960 is an abundant number, since it is smaller than the sum of its proper divisors (89596742976).

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

40982112960 is a wasteful number, since it uses less digits than its factorization.

40982112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151150 (or 151140 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 40982112960 in words is "forty billion, nine hundred eighty-two million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 283 320 480 566 849 960 1132 1415 1698 2264 2830 3396 4245 4528 5660 6792 8490 9056 11320 13584 16980 18112 22640 27168 33960 45280 54336 67920 90560 135840 150847 271680 301694 452541 603388 754235 905082 1206776 1508470 1810164 2262705 2413552 3016940 3620328 4525410 4827104 6033880 7240656 9050820 9654208 12067760 14481312 18101640 24135520 28962624 36203280 42689701 48271040 72406560 85379402 128069103 144813120 170758804 213448505 256138206 341517608 426897010 512276412 640345515 683035216 853794020 1024552824 1280691030 1366070432 1707588040 2049105648 2561382060 2732140864 3415176080 4098211296 5122764120 6830352160 8196422592 10245528240 13660704320 20491056480 40982112960