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40080108800 = 285223926203
BaseRepresentation
bin100101010100111101…
…011110110100000000
310211110020210111010002
4211110331132310000
51124041001440200
630225035455132
72616136206104
oct452475366400
9124406714102
1040080108800
1115aa81a3a66
1279268b74a8
133a19850314
141d230a1904
151098a5cbd5
hex954f5ed00

40080108800 has 108 divisors (see below), whose sum is σ = 99623415360. Its totient is φ = 15964354560.

The previous prime is 40080108787. The next prime is 40080108853. The reversal of 40080108800 is 880108004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516499 + ... + 1542701.

Almost surely, 240080108800 is an apocalyptic number.

40080108800 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 40080108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49811707680).

40080108800 is an abundant number, since it is smaller than the sum of its proper divisors (59543306560).

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

40080108800 is a wasteful number, since it uses less digits than its factorization.

40080108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26468 (or 26449 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The spelling of 40080108800 in words is "forty billion, eighty million, one hundred eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 239 256 320 400 478 640 800 956 1195 1280 1600 1912 2390 3200 3824 4780 5975 6400 7648 9560 11950 15296 19120 23900 26203 30592 38240 47800 52406 61184 76480 95600 104812 131015 152960 191200 209624 262030 305920 382400 419248 524060 655075 764800 838496 1048120 1310150 1529600 1676992 2096240 2620300 3353984 4192480 5240600 6262517 6707968 8384960 10481200 12525034 16769920 20962400 25050068 31312585 33539840 41924800 50100136 62625170 83849600 100200272 125250340 156562925 167699200 200400544 250500680 313125850 400801088 501001360 626251700 801602176 1002002720 1252503400 1603204352 2004005440 2505006800 4008010880 5010013600 8016021760 10020027200 20040054400 40080108800