Search a number
-
+
10404110024 = 23721117141931
BaseRepresentation
bin10011011000010001…
…00001111011001000
3222212002011112212022
421230020201323020
5132301423010044
64440220104012
7515552322200
oct115410417310
928762145768
1010404110024
114459937940
122024395008
13c9a63a729
14709ab7400
1540d5d43ee
hex26c221ec8

10404110024 has 96 divisors (see below), whose sum is σ = 26212001760. Its totient is φ = 3815078400.

The previous prime is 10404109993. The next prime is 10404110063. The reversal of 10404110024 is 42001140401.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 10404109984 and 10404110011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2339 + ... + 144269.

It is an arithmetic number, because the mean of its divisors is an integer number (273041685).

Almost surely, 210404110024 is an apocalyptic number.

10404110024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106000880).

10404110024 is an abundant number, since it is smaller than the sum of its proper divisors (15807891736).

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

10404110024 is a wasteful number, since it uses less digits than its factorization.

10404110024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141979 (or 141968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10404110024 its reverse (42001140401), we get a palindrome (52405250425).

The spelling of 10404110024 in words is "ten billion, four hundred four million, one hundred ten thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 136 154 187 196 238 308 374 392 476 539 616 748 833 952 1078 1309 1496 1666 2156 2618 3332 4312 5236 6664 9163 10472 18326 36652 73304 141931 283862 567724 993517 1135448 1561241 1987034 2412827 3122482 3974068 4825654 6244964 6954619 7948136 9651308 10928687 12489928 13909238 16889789 19302616 21857374 26541097 27818476 33779578 43714748 53082194 55636952 67559156 76500809 87429496 106164388 118228523 135118312 153001618 185787679 212328776 236457046 306003236 371575358 472914092 612006472 743150716 945828184 1300513753 1486301432 2601027506 5202055012 10404110024