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40011231104 = 271378730553
BaseRepresentation
bin100101010000110110…
…101110111110000000
310211021110012010200022
4211100312232332000
51123420333343404
630214135313012
72614341565355
oct452066567600
9124243163608
1040011231104
1115a7232a149
12790781b768
133a084b55a0
141d17c9262c
1510929a48be
hex950daef80

40011231104 has 64 divisors (see below), whose sum is σ = 85953290640. Its totient is φ = 18442653696.

The previous prime is 40011231097. The next prime is 40011231107. The reversal of 40011231104 is 40113211004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×400112311042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011231107) by changing a digit.

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, 1294292 + ... + 1324844.

Almost surely, 240011231104 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 40011231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42976645320).

40011231104 is an abundant number, since it is smaller than the sum of its proper divisors (45942059536).

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

40011231104 is a wasteful number, since it uses less digits than its factorization.

40011231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31367 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 40011231104 its reverse (40113211004), we get a palindrome (80124442108).

The spelling of 40011231104 in words is "forty billion, eleven million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 787 832 1574 1664 3148 6296 10231 12592 20462 25184 30553 40924 50368 61106 81848 100736 122212 163696 244424 327392 397189 488848 654784 794378 977696 1309568 1588756 1955392 3177512 3910784 6355024 12710048 24045211 25420096 48090422 50840192 96180844 192361688 312587743 384723376 625175486 769446752 1250350972 1538893504 2500701944 3077787008 5001403888 10002807776 20005615552 40011231104