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34440937526418 = 231723412551140363
BaseRepresentation
bin1111101010010111001111…
…10110001101010010010010
311111221112002011010122101020
413311023213312031102102
514003240020001321133
6201125540454420310
710153163352466323
oct765134766152222
9144845064118336
1034440937526418
11aa793573a6585
123a42a74361696
13162a9c6c30917
14870d4378444a
153ead4b6050b3
hex1f52e7d8d492

34440937526418 has 128 divisors (see below), whose sum is σ = 77992113475584. Its totient is φ = 10079114496000.

The previous prime is 34440937526353. The next prime is 34440937526453. The reversal of 34440937526418 is 81462573904443.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245300305 + ... + 245440667.

It is an arithmetic number, because the mean of its divisors is an integer number (609313386528).

It is a 1-persistent number, because it is pandigital, but 2⋅34440937526418 = 68881875052836 is not.

Almost surely, 234440937526418 is an apocalyptic number.

34440937526418 is an abundant number, since it is smaller than the sum of its proper divisors (43551175949166).

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

34440937526418 is a wasteful number, since it uses less digits than its factorization.

34440937526418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143000.

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 34440937526418 in words is "thirty-four trillion, four hundred forty billion, nine hundred thirty-seven million, five hundred twenty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 17 23 34 41 46 51 69 82 102 123 138 246 391 697 782 943 1173 1394 1886 2091 2346 2551 2829 4182 5102 5658 7653 15306 16031 32062 43367 48093 58673 86734 96186 104591 117346 130101 140363 176019 209182 260202 280726 313773 352038 421089 627546 842178 997441 1778047 1994882 2386171 2405593 2992323 3228349 3556094 4772342 4811186 5334141 5754883 5984646 6456698 7158513 7216779 9685047 10668282 11509766 14317026 14433558 17264649 19370094 34529298 40895081 54881933 81790162 97833011 109763866 122685243 132362309 164645799 195666022 245370486 264724618 293499033 329291598 358066013 397086927 586998066 716132026 794173854 1074198039 2148396078 2250159253 4500318506 6087122221 6750477759 8235518299 12174244442 13500955518 14680706533 16471036598 18261366663 24706554897 29361413066 36522733326 44042119599 49413109794 88084239198 140003811083 249572011061 280007622166 337656250259 420011433249 499144022122 675312500518 748716033183 840022866498 1012968750777 1497432066366 2025937501554 5740156254403 11480312508806 17220468763209 34440937526418