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40130203104 = 2532409340687
BaseRepresentation
bin100101010111111100…
…100100110111100000
310211120202001112120200
4211113330210313200
51124141312444404
630234025305200
72620315045455
oct452774446740
9124522045520
1040130203104
11160234a9612
12793b635200
133a2703c614
141d299c182c
15109d155839
hex957f24de0

40130203104 has 72 divisors (see below), whose sum is σ = 114399623520. Its totient is φ = 13343989248.

The previous prime is 40130203067. The next prime is 40130203121.

40130203104 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×401302031042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 52552 + ... + 288135.

It is an arithmetic number, because the mean of its divisors is an integer number (1588883660).

Almost surely, 240130203104 is an apocalyptic number.

It is an amenable number.

40130203104 is an abundant number, since it is smaller than the sum of its proper divisors (74269420416).

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

40130203104 is a wasteful number, since it uses less digits than its factorization.

40130203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341112 (or 341101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 40130203104 in words is "forty billion, one hundred thirty million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 29448 39264 58896 117792 340687 681374 1022061 1362748 2044122 2725496 3066183 4088244 5450992 6132366 8176488 10901984 12264732 16352976 24529464 32705952 49058928 98117856 139340983 278681966 418022949 557363932 836045898 1114727864 1254068847 1672091796 2229455728 2508137694 3344183592 4458911456 5016275388 6688367184 10032550776 13376734368 20065101552 40130203104