Search a number
-
+
10032304044 = 22371722730949
BaseRepresentation
bin10010101011111100…
…01100111110101100
3221220011112211221110
421111332030332230
5131021232212134
64335255032020
7503416114560
oct112576147654
927804484843
1010032304044
114288a79574
121b3b96b610
13c3b5bb0a9
146b25716a0
153dab3e7e9
hex255f8cfac

10032304044 has 96 divisors (see below), whose sum is σ = 28452211200. Its totient is φ = 2685791232.

The previous prime is 10032304003. The next prime is 10032304069. The reversal of 10032304044 is 44040323001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10032304044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308682 + ... + 339630.

It is an arithmetic number, because the mean of its divisors is an integer number (296377200).

Almost surely, 210032304044 is an apocalyptic number.

10032304044 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 10032304044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226105600).

10032304044 is an abundant number, since it is smaller than the sum of its proper divisors (18419907156).

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

10032304044 is a wasteful number, since it uses less digits than its factorization.

10032304044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31207 (or 31205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10032304044 its reverse (44040323001), we get a palindrome (54072627045).

The spelling of 10032304044 in words is "ten billion, thirty-two million, three hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 227 238 357 454 476 681 714 908 1362 1428 1589 2724 3178 3859 4767 6356 7718 9534 11577 15436 19068 23154 27013 30949 46308 54026 61898 81039 92847 108052 123796 162078 185694 216643 324156 371388 433286 526133 649929 866572 1052266 1299858 1578399 2104532 2599716 3156798 3682931 6313596 7025423 7365862 11048793 14050846 14731724 21076269 22097586 28101692 42152538 44195172 49177961 84305076 98355922 119432191 147533883 196711844 238864382 295067766 358296573 477728764 590135532 716593146 836025337 1433186292 1672050674 2508076011 3344101348 5016152022 10032304044