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14426321582088 = 23331321432397377
BaseRepresentation
bin1101000111101110001111…
…0001011111100000001000
31220002010212011012020101000
43101323203301133200020
53342330101311111323
650403205522055000
73016160461122003
oct321734361374010
956063764166330
1014426321582088
114662194492209
12174bb01aaa460
1380851c84c020
1437c34831653a
151a03dd51de43
hexd1ee3c5f808

14426321582088 has 128 divisors (see below), whose sum is σ = 43175818828800. Its totient is φ = 4436794994688.

The previous prime is 14426321582083. The next prime is 14426321582093. The reversal of 14426321582088 is 88028512362441.

14426321582088 is a `hidden beast` number, since 1 + 4 + 4 + 26 + 32 + 1 + 582 + 0 + 8 + 8 = 666.

14426321582088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14426321582083) and next prime (14426321582093).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14426321582083) 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, 4818856 + ... + 7216232.

It is an arithmetic number, because the mean of its divisors is an integer number (337311084600).

Almost surely, 214426321582088 is an apocalyptic number.

14426321582088 is a gapful number since it is divisible by the number (18) 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 14426321582088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587909414400).

14426321582088 is an abundant number, since it is smaller than the sum of its proper divisors (28749497246712).

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

14426321582088 is a wasteful number, since it uses less digits than its factorization.

14426321582088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399548 (or 2399538 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 14426321582088 in words is "fourteen trillion, four hundred twenty-six billion, three hundred twenty-one million, five hundred eighty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2143 2808 4286 6429 8572 12858 17144 19287 25716 27859 38574 51432 55718 57861 77148 83577 111436 115722 154296 167154 222872 231444 250731 334308 462888 501462 668616 752193 1002924 1504386 2005848 2397377 3008772 4794754 6017544 7192131 9589508 14384262 19179016 21576393 28768524 31165901 43152786 57537048 62331802 64729179 86305572 93497703 124663604 129458358 172611144 186995406 249327208 258916716 280493109 373990812 517833432 560986218 747981624 841479327 1121972436 1682958654 2243944872 3365917308 5137578911 6731834616 10275157822 15412736733 20550315644 30825473466 41100631288 46238210199 61650946932 66788525843 92476420398 123301893864 133577051686 138714630597 184952840796 200365577529 267154103372 277429261194 369905681592 400731155058 534308206744 554858522388 601096732587 801462310116 1109717044776 1202193465174 1602924620232 1803290197761 2404386930348 3606580395522 4808773860696 7213160791044 14426321582088