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104020251144 = 233435317310993
BaseRepresentation
bin110000011100000010…
…1110001001000001000
3100221111100110021001020
41200320011301020020
53201013141014034
6115441454552440
710341501355215
oct1407005611010
9327440407036
10104020251144
11401297a1307
12181b0208720
139a696a1984
14506ad66b0c
152a8c160249
hex1838171208

104020251144 has 128 divisors (see below), whose sum is σ = 272711007360. Its totient is φ = 33032982528.

The previous prime is 104020251109. The next prime is 104020251149. The reversal of 104020251144 is 441152020401.

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

It is not an unprimeable number, because it can be changed into a prime (104020251149) 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, 9456912 + ... + 9467904.

It is an arithmetic number, because the mean of its divisors is an integer number (2130554745).

Almost surely, 2104020251144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104020251144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136355503680).

104020251144 is an abundant number, since it is smaller than the sum of its proper divisors (168690756216).

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

104020251144 is a wasteful number, since it uses less digits than its factorization.

104020251144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 104020251144 its reverse (441152020401), we get a palindrome (545172271545).

The spelling of 104020251144 in words is "one hundred four billion, twenty million, two hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 173 212 258 318 344 346 424 516 519 636 692 1032 1038 1272 1384 2076 2279 4152 4558 6837 7439 9116 9169 10993 13674 14878 18232 18338 21986 22317 27348 27507 29756 32979 36676 43972 44634 54696 55014 59512 65958 73352 87944 89268 110028 131916 178536 220056 263832 394267 472699 582629 788534 945398 1165258 1182801 1418097 1577068 1747887 1890796 1901789 2330516 2365602 2836194 3154136 3495774 3781592 3803578 4661032 4731204 5672388 5705367 6991548 7607156 9462408 11344776 11410734 13983096 15214312 22821468 25053047 45642936 50106094 75159141 81776927 100212188 100794817 150318282 163553854 200424376 201589634 245330781 300636564 302384451 327107708 403179268 490661562 601273128 604768902 654215416 806358536 981323124 1209537804 1962646248 2419075608 4334177131 8668354262 13002531393 17336708524 26005062786 34673417048 52010125572 104020251144