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44140402152 = 23327112723803
BaseRepresentation
bin101001000110111110…
…010001010111101000
311012221012221202111100
4221012332101113220
51210344420332102
632140002001400
73121561141050
oct510676212750
9135835852440
1044140402152
11177a1119500
12867a646260
134215ac2372
1421ca42c560
151235242a1c
hexa46f915e8

44140402152 has 144 divisors (see below), whose sum is σ = 150174853920. Its totient is φ = 11465023680.

The previous prime is 44140402151. The next prime is 44140402169. The reversal of 44140402152 is 25120404144.

44140402152 is a `hidden beast` number, since 4 + 41 + 404 + 0 + 215 + 2 = 666.

44140402152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×441404021522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44140402151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300918 + ... + 422885.

It is an arithmetic number, because the mean of its divisors is an integer number (1042880930).

Almost surely, 244140402152 is an apocalyptic number.

44140402152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

44140402152 is an abundant number, since it is smaller than the sum of its proper divisors (106034451768).

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

44140402152 is a wasteful number, since it uses less digits than its factorization.

44140402152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723844 (or 723826 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 44140402152 its reverse (25120404144), we get a palindrome (69260806296).

The spelling of 44140402152 in words is "forty-four billion, one hundred forty million, four hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6776 7623 8712 10164 15246 20328 30492 60984 723803 1447606 2171409 2895212 4342818 5066621 5790424 6514227 7961833 8685636 10133242 13028454 15199863 15923666 17371272 20266484 23885499 26056908 30399726 31847332 40532968 45599589 47770998 52113816 55732831 60799452 63694664 71656497 87580163 91199178 95541996 111465662 121598904 143312994 167198493 175160326 182398356 191083992 222931324 262740489 286625988 334396986 350320652 364796712 445862648 501595479 525480978 573251976 613061141 668793972 700641304 788221467 1003190958 1050961956 1226122282 1337587944 1576442934 1839183423 2006381916 2101923912 2452244564 3152885868 3678366846 4012763832 4904489128 5517550269 6305771736 7356733692 11035100538 14713467384 22070201076 44140402152