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10134444432 = 24371671791009
BaseRepresentation
bin10010111000000111…
…10101100110010000
3222011021202010012210
421130003311212100
5131223404210212
64353344152120
7506066233140
oct113403654620
928137663183
1010134444432
1143306a2112
121b6a008640
13c56800ba8
146c1d5c920
153e4ab853c
hex25c0f5990

10134444432 has 160 divisors (see below), whose sum is σ = 30298060800. Its totient is φ = 2859300864.

The previous prime is 10134444403. The next prime is 10134444457. The reversal of 10134444432 is 23444443101.

It is a self number, because there is not a number n which added to its sum of digits gives 10134444432.

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, 10043544 + ... + 10044552.

It is an arithmetic number, because the mean of its divisors is an integer number (189362880).

Almost surely, 210134444432 is an apocalyptic number.

10134444432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149030400).

10134444432 is an abundant number, since it is smaller than the sum of its proper divisors (20163616368).

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

10134444432 is a wasteful number, since it uses less digits than its factorization.

10134444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10134444432 its reverse (23444443101), we get a palindrome (33578887533).

The spelling of 10134444432 in words is "ten billion, one hundred thirty-four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 179 334 336 358 501 537 668 716 1002 1009 1074 1169 1253 1336 1432 2004 2018 2148 2338 2506 2672 2864 3027 3507 3759 4008 4036 4296 4676 5012 6054 7014 7063 7518 8016 8072 8592 9352 10024 12108 14028 14126 15036 16144 18704 20048 21189 24216 28056 28252 29893 30072 42378 48432 56112 56504 59786 60144 84756 89679 113008 119572 168503 169512 179358 180611 209251 239144 337006 339024 358716 361222 418502 478288 505509 541833 627753 674012 717432 722444 837004 1011018 1083666 1179521 1255506 1264277 1348024 1434864 1444888 1674008 2022036 2167332 2359042 2511012 2528554 2696048 2889776 3348016 3538563 3792831 4044072 4334664 4718084 5022024 5057108 7077126 7585662 8088144 8669328 9436168 10044048 10114216 14154252 15171324 18872336 20228432 28308504 30162037 30342648 56617008 60324074 60685296 90486111 120648148 180972222 211134259 241296296 361944444 422268518 482592592 633402777 723888888 844537036 1266805554 1447777776 1689074072 2533611108 3378148144 5067222216 10134444432