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104002144020 = 22335619731079
BaseRepresentation
bin110000011011100000…
…0101100011100010100
3100221110002101022202000
41200313000230130110
53200444022102040
6115440010515300
710341161431605
oct1406700543424
9327402338660
10104002144020
114011a554145
12181a6135b30
139a65a01cb8
1450687b1dac
152a8a785130
hex183702c714

104002144020 has 96 divisors (see below), whose sum is σ = 323624851200. Its totient is φ = 27728537472.

The previous prime is 104002143967. The next prime is 104002144021. The reversal of 104002144020 is 20441200401.

104002144020 is a `hidden beast` number, since 10 + 40 + 0 + 214 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104002143984 and 104002144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104002144021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3330841 + ... + 3361919.

It is an arithmetic number, because the mean of its divisors is an integer number (3371092200).

Almost surely, 2104002144020 is an apocalyptic number.

104002144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104002144020 is an abundant number, since it is smaller than the sum of its proper divisors (219622707180).

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

104002144020 is a wasteful number, since it uses less digits than its factorization.

104002144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37294 (or 37286 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 104002144020 its reverse (20441200401), we get a palindrome (124443344421).

The spelling of 104002144020 in words is "one hundred four billion, two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6197 12394 18591 24788 30985 31079 37182 55773 61970 62158 74364 92955 93237 111546 123940 124316 155395 167319 185910 186474 223092 278865 279711 310790 334638 371820 372948 466185 557730 559422 621580 669276 836595 839133 932370 1115460 1118844 1398555 1673190 1678266 1864740 2797110 3346380 3356532 4195665 5594220 8391330 16782660 192596563 385193126 577789689 770386252 962982815 1155579378 1733369067 1925965630 2311158756 2888948445 3466738134 3851931260 5200107201 5777896890 6933476268 8666845335 10400214402 11555793780 17333690670 20800428804 26000536005 34667381340 52001072010 104002144020