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1044525440616 = 2337231249216431
BaseRepresentation
bin11110011001100101001…
…00010101111001101000
310200212002202220011110020
433030302210111321220
5114103142003044431
62115503125120440
7135315212516160
oct17146244257150
93625082804406
101044525440616
11372a874204a9
1214a529559120
1377662a914c8
14387aba635a0
151c2856b4696
hexf332915e68

1044525440616 has 128 divisors (see below), whose sum is σ = 3116620800000. Its totient is φ = 285230499840.

The previous prime is 1044525440599. The next prime is 1044525440641. The reversal of 1044525440616 is 6160445254401.

It is a happy number.

1044525440616 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

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, 4717921 + ... + 4934351.

It is an arithmetic number, because the mean of its divisors is an integer number (24348600000).

Almost surely, 21044525440616 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 1044525440616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558310400000).

1044525440616 is an abundant number, since it is smaller than the sum of its proper divisors (2072095359384).

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

1044525440616 is a wasteful number, since it uses less digits than its factorization.

1044525440616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217719 (or 217715 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 1044525440616 in words is "one trillion, forty-four billion, five hundred twenty-five million, four hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1249 1288 1932 2498 3747 3864 4996 7494 8743 9992 14988 17486 26229 28727 29976 34972 52458 57454 69944 86181 104916 114908 172362 201089 209832 216431 229816 344724 402178 432862 603267 649293 689448 804356 865724 1206534 1298586 1515017 1608712 1731448 2413068 2597172 3030034 4545051 4826136 4977913 5194344 6060068 9090102 9955826 12120136 14933739 18180204 19911652 29867478 34845391 36360408 39823304 59734956 69690782 104536173 119469912 139381564 209072346 270322319 278763128 418144692 540644638 810966957 836289384 1081289276 1621933914 1892256233 2162578552 3243867828 3784512466 5676768699 6217413337 6487735656 7569024932 11353537398 12434826674 15138049864 18652240011 22707074796 24869653348 37304480022 43521893359 45414149592 49739306696 74608960044 87043786718 130565680077 149217920088 174087573436 261131360154 348175146872 522262720308 1044525440616