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44145663012066 = 23711437732874737
BaseRepresentation
bin10100000100110011101101…
…00011111110110011100010
312210022021200011021102010110
422002121312203332303202
521241240304212341231
6233520123154112150
712204263453163330
oct1202316643766342
9183267604242113
1044145663012066
1113080085993640
124b4b88527b656
131b82bc22725a5
14ac89391b4b50
155184e3b68046
hex2826768fece2

44145663012066 has 128 divisors (see below), whose sum is σ = 112783193081856. Its totient is φ = 11185252807680.

The previous prime is 44145663012043. The next prime is 44145663012067. The reversal of 44145663012066 is 66021036654144.

It is not an unprimeable number, because it can be changed into a prime (44145663012067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13919050 + ... + 16793786.

It is an arithmetic number, because the mean of its divisors is an integer number (881118695952).

Almost surely, 244145663012066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44145663012066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391596540928).

44145663012066 is an abundant number, since it is smaller than the sum of its proper divisors (68637530069790).

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

44145663012066 is a wasteful number, since it uses less digits than its factorization.

44145663012066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875576.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 44145663012066 in words is "forty-four trillion, one hundred forty-five billion, six hundred sixty-three million, twelve thousand, sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 773 903 946 1419 1546 1806 2319 2838 3311 4638 5411 6622 8503 9933 10822 16233 17006 19866 25509 32466 33239 51018 59521 66478 99717 119042 178563 199434 232673 357126 365629 465346 698019 731258 1096887 1396038 2193774 2559403 2874737 5118806 5749474 7678209 8624211 15356418 17248422 20123159 31622107 40246318 60369477 63244214 94866321 120738954 123613691 189732642 221354749 247227382 370841073 442709498 664064247 741682146 865295837 1328128494 1359750601 1730591674 2222171701 2595887511 2719501202 4079251803 4444343402 5191775022 6666515103 8158503606 9518254207 13333030206 15555201907 19036508414 24443888711 28554762621 31110403814 46665605721 48887777422 57109525242 73331666133 93331211442 95553383143 146663332266 171107220977 191106766286 286660149429 342214441954 513321662931 573320298858 668873682001 1026643325862 1051087214573 1337747364002 2006621046003 2102174429146 3153261643719 4013242092006 6306523287438 7357610502011 14715221004022 22072831506033 44145663012066