Search a number
-
+
44322013032 = 233111928333119
BaseRepresentation
bin101001010001110011…
…000011111101101000
311020101212200112210020
4221101303003331220
51211232413404112
632210010320440
73126224615613
oct512163037550
9136355615706
1044322013032
1117884691440
12870b429120
13424460b51b
1422065c517a
15124616848c
hexa51cc3f68

44322013032 has 128 divisors (see below), whose sum is σ = 127325952000. Its totient is φ = 12715453440.

The previous prime is 44322013019. The next prime is 44322013037. The reversal of 44322013032 is 23031022344.

44322013032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44322012993 and 44322013011.

It is not an unprimeable number, because it can be changed into a prime (44322013037) 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, 14208769 + ... + 14211887.

It is an arithmetic number, because the mean of its divisors is an integer number (994734000).

Almost surely, 244322013032 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 44322013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63662976000).

44322013032 is an abundant number, since it is smaller than the sum of its proper divisors (83003938968).

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

44322013032 is a wasteful number, since it uses less digits than its factorization.

44322013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 44322013032 its reverse (23031022344), we get a palindrome (67353035376).

The spelling of 44322013032 in words is "forty-four billion, three hundred twenty-two million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 2833 3119 5016 5666 6238 8499 9357 11332 12476 16998 18714 22664 24952 31163 33996 34309 37428 53827 59261 62326 67992 68618 74856 93489 102927 107654 118522 124652 137236 161481 177783 186978 205854 215308 237044 249304 274472 322962 355566 373956 411708 430616 474088 592097 645924 651871 711132 747912 823416 1184194 1291848 1303742 1422264 1776291 1955613 2368388 2607484 3552582 3911226 4736776 5214968 7105164 7822452 8836127 14210328 15644904 17672254 26508381 35344508 53016762 70689016 97197397 106033524 167886413 194394794 212067048 291592191 335772826 388789588 503659239 583184382 671545652 777579176 1007318478 1166368764 1343091304 1846750543 2014636956 2332737528 3693501086 4029273912 5540251629 7387002172 11080503258 14774004344 22161006516 44322013032