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144402299504 = 24172231996823
BaseRepresentation
bin1000011001111100001…
…1000011101001110000
3111210201122101212100222
42012133003003221300
54331213442041004
6150200522232212
713301265202511
oct2063703035160
9453648355328
10144402299504
11562713739a1
1223ba0055668
131080394b848
146dbc184a08
153b524617be
hex219f0c3a70

144402299504 has 120 divisors (see below), whose sum is σ = 311731238400. Its totient is φ = 64663391232.

The previous prime is 144402299501. The next prime is 144402299533. The reversal of 144402299504 is 405992204441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144402299501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21160637 + ... + 21167459.

It is an arithmetic number, because the mean of its divisors is an integer number (2597760320).

Almost surely, 2144402299504 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 144402299504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155865619200).

144402299504 is an abundant number, since it is smaller than the sum of its proper divisors (167328938896).

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

144402299504 is a wasteful number, since it uses less digits than its factorization.

144402299504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 144402299504 in words is "one hundred forty-four billion, four hundred two million, two hundred ninety-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 199 272 289 368 391 398 578 782 796 1156 1564 1592 2312 3128 3184 3383 4577 4624 6256 6647 6766 6823 9154 13294 13532 13646 18308 26588 27064 27292 36616 53176 54128 54584 57511 73232 77809 106352 109168 115022 115991 155618 156929 230044 231982 311236 313858 460088 463964 622472 627716 920176 927928 1244944 1255432 1322753 1357777 1855856 1971847 2510864 2645506 2667793 2715554 3943694 5291012 5335586 5431108 7887388 10582024 10671172 10862216 15774776 21164048 21342344 21724432 23082209 31228871 31549552 42684688 45352481 46164418 62457742 90704962 92328836 124915484 181409924 184657672 249830968 362819848 369315344 392397553 499661936 530890807 725639696 784795106 1061781614 1569590212 2123563228 3139180424 4247126456 6278360848 8494252912 9025143719 18050287438 36100574876 72201149752 144402299504