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104420453040 = 24325705720551
BaseRepresentation
bin110000100111111110…
…0011010101010110000
3100222112020111121211200
41201033330122222300
53202323113444130
6115545312411200
710354431130461
oct1411774325260
9328466447750
10104420453040
1140314694982
12182a2246b00
139b01584127
1450a8180d68
152ab2363760
hex184ff1aab0

104420453040 has 120 divisors (see below), whose sum is σ = 350745446688. Its totient is φ = 27840153600.

The previous prime is 104420453003. The next prime is 104420453063. The reversal of 104420453040 is 40354024401.

It is a happy number.

104420453040 is a `hidden beast` number, since 104 + 4 + 20 + 4 + 530 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 104420452995 and 104420453013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5070765 + ... + 5091315.

Almost surely, 2104420453040 is an apocalyptic number.

104420453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104420453040 is an abundant number, since it is smaller than the sum of its proper divisors (246324993648).

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

104420453040 is a wasteful number, since it uses less digits than its factorization.

104420453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627 (or 27618 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 104420453040 its reverse (40354024401), we get a palindrome (144774477441).

The spelling of 104420453040 in words is "one hundred four billion, four hundred twenty million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7057 14114 20551 21171 28228 35285 41102 42342 56456 61653 63513 70570 82204 84684 102755 105855 112912 123306 127026 141140 164408 169368 184959 205510 211710 246612 254052 282280 308265 317565 328816 338736 369918 411020 423420 493224 508104 564560 616530 635130 739836 822040 846840 924795 986448 1016208 1233060 1270260 1479672 1644080 1693680 1849590 2466120 2540520 2959344 3699180 4932240 5081040 7398360 14796720 145028407 290056814 435085221 580113628 725142035 870170442 1160227256 1305255663 1450284070 1740340884 2175426105 2320454512 2610511326 2900568140 3480681768 4350852210 5221022652 5801136280 6526278315 6961363536 8701704420 10442045304 11602272560 13052556630 17403408840 20884090608 26105113260 34806817680 52210226520 104420453040