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44612201142 = 2331723777261
BaseRepresentation
bin101001100011000110…
…000010101010110110
311021011002201122001000
4221203012002222312
51212331210414032
632254454144130
73136350311235
oct514306025266
9137132648030
1044612201142
1117a13474023
128790652046
13428c782272
142232d62b1c
151261889e7c
hexa63182ab6

44612201142 has 96 divisors (see below), whose sum is σ = 108160619040. Its totient is φ = 13617538560.

The previous prime is 44612201129. The next prime is 44612201167. The reversal of 44612201142 is 24110221644.

44612201142 is a `hidden beast` number, since 4 + 4 + 612 + 2 + 0 + 1 + 1 + 42 = 666.

It is a super-2 number, since 2×446122011422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538792 + ... + 616052.

It is an arithmetic number, because the mean of its divisors is an integer number (1126673115).

Almost surely, 244612201142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44612201142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54080309520).

44612201142 is an abundant number, since it is smaller than the sum of its proper divisors (63548417898).

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

44612201142 is a wasteful number, since it uses less digits than its factorization.

44612201142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77343 (or 77320 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 44612201142 its reverse (24110221644), we get a palindrome (68722422786).

The spelling of 44612201142 in words is "forty-four billion, six hundred twelve million, two hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 289 306 333 459 578 629 666 867 918 999 1258 1734 1887 1998 2601 3774 5202 5661 7803 10693 11322 15606 16983 21386 32079 33966 64158 77261 96237 154522 192474 231783 288711 463566 577422 695349 1313437 1390698 2086047 2626874 2858657 3940311 4172094 5717314 7880622 8575971 11820933 17151942 22328429 23641866 25727913 35462799 44656858 48597169 51455826 66985287 70925598 77183739 97194338 133970574 145791507 154367478 200955861 291583014 401911722 437374521 602867583 826151873 874749042 1205735166 1312123563 1652303746 2478455619 2624247126 4956911238 7435366857 14870733714 22306100571 44612201142