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40801130208 = 2532499283909
BaseRepresentation
bin100101111111111011…
…111101011011100000
310220022111112011112200
4211333323331123200
51132030042131313
630424353453200
72643042612246
oct457773753340
9126274464480
1040801130208
11163381a1023
127aa8271200
133b0303c9c7
141d90b4c796
1510dbed3b73
hex97fefd6e0

40801130208 has 72 divisors (see below), whose sum is σ = 116261145000. Its totient is φ = 13573073664.

The previous prime is 40801130203. The next prime is 40801130243. The reversal of 40801130208 is 80203110804.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40801130203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1758 + ... + 285666.

It is an arithmetic number, because the mean of its divisors is an integer number (1614738125).

Almost surely, 240801130208 is an apocalyptic number.

40801130208 is a gapful number since it is divisible by the number (48) 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 40801130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58130572500).

40801130208 is an abundant number, since it is smaller than the sum of its proper divisors (75460014792).

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

40801130208 is a wasteful number, since it uses less digits than its factorization.

40801130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284424 (or 284413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40801130208 in words is "forty billion, eight hundred one million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 499 998 1497 1996 2994 3992 4491 5988 7984 8982 11976 15968 17964 23952 35928 47904 71856 143712 283909 567818 851727 1135636 1703454 2271272 2555181 3406908 4542544 5110362 6813816 9085088 10220724 13627632 20441448 27255264 40882896 81765792 141670591 283341182 425011773 566682364 850023546 1133364728 1275035319 1700047092 2266729456 2550070638 3400094184 4533458912 5100141276 6800188368 10200282552 13600376736 20400565104 40801130208