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10232443044 = 22332317332377
BaseRepresentation
bin10011000011110011…
…01011000010100100
3222102010010222001000
421201321223002210
5131424001134134
64411204433300
7511366221315
oct114171530244
928363128030
1010232443044
114380a469aa
121b969a8830
13c70bc3735
146d0d8c60c
153ed4c4e99
hex261e6b0a4

10232443044 has 96 divisors (see below), whose sum is σ = 27709597440. Its totient is φ = 3259263744.

The previous prime is 10232443033. The next prime is 10232443057. The reversal of 10232443044 is 44034423201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10232442999 and 10232443017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4303584 + ... + 4305960.

It is an arithmetic number, because the mean of its divisors is an integer number (288641640).

Almost surely, 210232443044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232443044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854798720).

10232443044 is an abundant number, since it is smaller than the sum of its proper divisors (17477154396).

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

10232443044 is a wasteful number, since it uses less digits than its factorization.

10232443044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10232443044 its reverse (44034423201), we get a palindrome (54266866245).

The spelling of 10232443044 in words is "ten billion, two hundred thirty-two million, four hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1733 2377 2484 3466 4754 5199 6932 7131 9508 10398 14262 15597 20796 21393 28524 31194 39859 42786 46791 54671 62388 64179 79718 85572 93582 109342 119577 128358 159436 164013 187164 218684 239154 256716 328026 358731 478308 492039 656052 717462 984078 1076193 1434924 1476117 1968156 2152386 2952234 4119341 4304772 5904468 8238682 12358023 16477364 24716046 37074069 49432092 74148138 94744843 111222207 148296276 189489686 222444414 284234529 378979372 444888828 568469058 852703587 1136938116 1705407174 2558110761 3410814348 5116221522 10232443044