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40111122111104 = 271128488012863
BaseRepresentation
bin10010001111011000110010…
…01011110101101010000000
312021000120211001210010202002
421013230121023311222000
520224140034230023404
6221150443424443132
711306634666311102
oct1107543113655200
9167016731703662
1040111122111104
1111865038811930
1245b99797794a8
13194c6023b7625
149c9562715572
154985b05b6c1e
hex247b192f5a80

40111122111104 has 32 divisors (see below), whose sum is σ = 87173319363840. Its totient is φ = 18232328231680.

The previous prime is 40111122111089. The next prime is 40111122111107.

40111122111104 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40111122111107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14244005024 + ... + 14244007839.

It is an arithmetic number, because the mean of its divisors is an integer number (2724166230120).

Almost surely, 240111122111104 is an apocalyptic number.

40111122111104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40111122111104 is an abundant number, since it is smaller than the sum of its proper divisors (47062197252736).

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

40111122111104 is a wasteful number, since it uses less digits than its factorization.

40111122111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28488012888 (or 28488012876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 4011112 and 2111104, that added together give a palindrome (6122216).

The spelling of 40111122111104 in words is "forty trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 28488012863 56976025726 113952051452 227904102904 313368141493 455808205808 626736282986 911616411616 1253472565972 1823232823232 2506945131944 3646465646464 5013890263888 10027780527776 20055561055552 40111122111104