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45344000044354 = 211232941271278111
BaseRepresentation
bin10100100111101011110010…
…00000111110110101000010
312221112211210022211000021011
422103311321000332311002
521420404003002404404
6240234425051351134
712356665406662114
oct1223657100766502
9187484708730234
1045344000044354
11134a2311a00450
125103b79a524aa
131c3bbc817881b
14b2a9388d73b4
1553977c867604
hex293d7903ed42

45344000044354 has 128 divisors (see below), whose sum is σ = 82351766568960. Its totient is φ = 18502102080000.

The previous prime is 45344000044309. The next prime is 45344000044361.

45344000044354 is nontrivially palindromic in base 10.

45344000044354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162903759 + ... + 163181869.

It is an arithmetic number, because the mean of its divisors is an integer number (643373176320).

Almost surely, 245344000044354 is an apocalyptic number.

45344000044354 is a deficient number, since it is larger than the sum of its proper divisors (37007766524606).

45344000044354 is a wasteful number, since it uses less digits than its factorization.

45344000044354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278488.

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 453440000 and 44354, that added together give a palindrome (453484354).

The spelling of 45344000044354 in words is "forty-five trillion, three hundred forty-four billion, forty-four thousand, three hundred fifty-four".

Divisors: 1 2 11 22 23 29 41 46 58 82 253 271 319 451 506 542 638 667 902 943 1189 1334 1886 2378 2981 5962 6233 7337 7859 10373 11111 12466 13079 14674 15718 20746 22222 26158 27347 54694 68563 86449 122221 137126 172898 180757 244442 255553 278111 300817 322219 361514 511106 556222 601634 644438 1988327 2811083 3059221 3544409 3976654 5622166 6118442 6396553 7088818 7411037 8065219 11402551 12793106 14822074 16130438 22805102 70362083 75368081 81521407 88717409 125428061 140724166 150736162 163042814 177434818 185500037 250856122 262258673 330673979 371000074 524517346 661347958 829048891 1658097782 1733465863 2040500407 2185674349 2884845403 3090091321 3466931726 3637413769 4081000814 4371348698 5769690806 6180182642 7274827538 7605501517 15211003034 19068124493 24042417839 33991004531 38136248986 48084835678 50270510027 67982009062 71072100383 83660516687 89612648309 100541020054 142144200766 167321033374 179225296618 552975610297 781793104213 985739131399 1105951220594 1563586208426 1971478262798 2061090911107 4122181822214 22672000022177 45344000044354