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104414244240 = 2435538208667
BaseRepresentation
bin110000100111110010…
…0101110110110010000
3100222111210211011222010
41201033210232312100
53202320021303430
6115544531342520
710354324301145
oct1411744566620
9328453734863
10104414244240
1140311134139
12182a0151a40
139b001bc097
1450a74063cc
152ab1a38cb0
hex184f92ed90

104414244240 has 80 divisors (see below), whose sum is σ = 329791445568. Its totient is φ = 27318440448.

The previous prime is 104414244229. The next prime is 104414244247. The reversal of 104414244240 is 42442414401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104414244198 and 104414244207.

It is not an unprimeable number, because it can be changed into a prime (104414244247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4091614 + ... + 4117053.

Almost surely, 2104414244240 is an apocalyptic number.

104414244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104414244240 is an abundant number, since it is smaller than the sum of its proper divisors (225377201328).

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

104414244240 is a wasteful number, since it uses less digits than its factorization.

104414244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208736 (or 8208730 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 104414244240 its reverse (42442414401), we get a palindrome (146856658641).

The spelling of 104414244240 in words is "one hundred four billion, four hundred fourteen million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 8208667 16417334 24626001 32834668 41043335 49252002 65669336 82086670 98504004 123130005 131338672 164173340 197008008 246260010 328346680 394016016 435059351 492520020 656693360 870118702 985040040 1305178053 1740237404 1970080080 2175296755 2610356106 3480474808 4350593510 5220712212 6525890265 6960949616 8701187020 10441424424 13051780530 17402374040 20882848848 26103561060 34804748080 52207122120 104414244240