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100442240012040 = 2335837018666767
BaseRepresentation
bin10110110101101000001000…
…000010010100111100001000
3111011122011222101220211121220
4112311220020002110330020
5101131121201420341130
6553342310021002040
730104466225211353
oct2665501002247410
9434564871824556
10100442240012040
112a005350a65833
12b322466b53320
13440787c937344
141ab3604c7729a
15b92aee672410
hex5b5a08094f08

100442240012040 has 32 divisors (see below), whose sum is σ = 301326720036480. Its totient is φ = 26784597336512.

The previous prime is 100442240012011. The next prime is 100442240012083. The reversal of 100442240012040 is 40210042244001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100442240012040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418509333264 + ... + 418509333503.

It is an arithmetic number, because the mean of its divisors is an integer number (9416460001140).

Almost surely, 2100442240012040 is an apocalyptic number.

100442240012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100442240012040 is an abundant number, since it is smaller than the sum of its proper divisors (200884480024440).

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

100442240012040 is a wasteful number, since it uses less digits than its factorization.

100442240012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837018666781 (or 837018666777 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100442240012040 its reverse (40210042244001), we get a palindrome (140652282256041).

The spelling of 100442240012040 in words is "one hundred trillion, four hundred forty-two billion, two hundred forty million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 837018666767 1674037333534 2511056000301 3348074667068 4185093333835 5022112000602 6696149334136 8370186667670 10044224001204 12555280001505 16740373335340 20088448002408 25110560003010 33480746670680 50221120006020 100442240012040