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40311231104 = 2718129613
BaseRepresentation
bin100101100010101111…
…001001001010000000
310212001100200201022102
4211202233021022000
51130024133343404
630304013325532
72624643545054
oct454257111200
9125040621272
1040311231104
1116106703631
1279901968a8
133a556b3391
141d45a65c64
1510adeb371e
hex962bc9280

40311231104 has 48 divisors (see below), whose sum is σ = 80762070510. Its totient is φ = 20042173440.

The previous prime is 40311231091. The next prime is 40311231127. The reversal of 40311231104 is 40113211304.

It can be written as a sum of positive squares in 3 ways, for example, as 23150231104 + 17161000000 = 152152^2 + 131000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4188602 + ... + 4198214.

Almost surely, 240311231104 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 40311231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40381035255).

40311231104 is an abundant number, since it is smaller than the sum of its proper divisors (40450839406).

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

40311231104 is an frugal number, since it uses more digits than its factorization.

40311231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9796 counting only the distinct ones).

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

Adding to 40311231104 its reverse (40113211304), we get a palindrome (80424442408).

The spelling of 40311231104 in words is "forty billion, three hundred eleven million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5792 9613 11584 19226 23168 32761 38452 65522 76904 131044 153808 262088 307616 524176 615232 1048352 1230464 1739953 2096704 3479906 4193408 6959812 13919624 27839248 55678496 111356992 222713984 314931493 629862986 1259725972 2519451944 5038903888 10077807776 20155615552 40311231104