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44386588134 = 23272379193877
BaseRepresentation
bin101001010101101001…
…011001010111100110
311020120101012022011200
4221111221121113212
51211400431310014
632220234343330
73130640526330
oct512551312746
9136511168150
1044386588134
1117908087699
128728b8ab46
134254acaa45
142210dd4450
15124bb71a09
hexa55a595e6

44386588134 has 96 divisors (see below), whose sum is σ = 116140677120. Its totient is φ = 11976883776.

The previous prime is 44386588067. The next prime is 44386588153. The reversal of 44386588134 is 43188568344.

It is a happy number.

44386588134 is a `hidden beast` number, since 4 + 43 + 8 + 6 + 588 + 13 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132004 + ... + 325880.

It is an arithmetic number, because the mean of its divisors is an integer number (1209798720).

Almost surely, 244386588134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44386588134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58070338560).

44386588134 is an abundant number, since it is smaller than the sum of its proper divisors (71754088986).

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

44386588134 is a wasteful number, since it uses less digits than its factorization.

44386588134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193994 (or 193991 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 44386588134 in words is "forty-four billion, three hundred eighty-six million, five hundred eighty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 79 126 138 158 161 207 237 322 414 474 483 553 711 966 1106 1422 1449 1659 1817 2898 3318 3634 4977 5451 9954 10902 12719 16353 25438 32706 38157 76314 114471 193877 228942 387754 581631 1163262 1357139 1744893 2714278 3489786 4071417 4459171 8142834 8918342 12214251 13377513 15316283 24428502 26755026 30632566 31214197 40132539 45948849 62428394 80265078 91897698 93642591 107213981 137846547 187285182 214427962 275693094 280927773 321641943 352274509 561855546 643283886 704549018 964925829 1056823527 1929851658 2113647054 2465921563 3170470581 4931843126 6340941162 7397764689 14795529378 22193294067 44386588134