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40113231104 = 2810111871307
BaseRepresentation
bin100101010110111011…
…110101010100000000
310211112120010021101002
4211112323311110000
51124122441343404
630232221431132
72620020560432
oct452673652400
9124476107332
1040113231104
1116014967271
127935a0b4a8
133a2367950b
141d27644652
15109b901c1e
hex956ef5500

40113231104 has 72 divisors (see below), whose sum is σ = 80992584288. Its totient is φ = 19826124800.

The previous prime is 40113231079. The next prime is 40113231139.

40113231104 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 30690419 + ... + 30691725.

It is an arithmetic number, because the mean of its divisors is an integer number (1124897004).

Almost surely, 240113231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40113231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40496292144).

40113231104 is an abundant number, since it is smaller than the sum of its proper divisors (40879353184).

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

40113231104 is a wasteful number, since it uses less digits than its factorization.

40113231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 40113231104 in words is "forty billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1187 1307 1616 2374 2614 3232 4748 5228 6464 9496 10456 12928 18992 20912 25856 37984 41824 75968 83648 119887 132007 151936 167296 239774 264014 303872 334592 479548 528028 959096 1056056 1551409 1918192 2112112 3102818 3836384 4224224 6205636 7672768 8448448 12411272 15345536 16896896 24822544 30691072 33793792 49645088 99290176 156692309 198580352 313384618 397160704 626769236 1253538472 2507076944 5014153888 10028307776 20056615552 40113231104