Search a number
-
+
10441260032 = 21079715017
BaseRepresentation
bin10011011100101100…
…01111110000000000
3222221200001222002112
421232112033300000
5132340430310112
64444024234452
7516513150230
oct115626176000
928850058075
1010441260032
114478901225
12203490ba28
13ca5246c98
147109c7cc0
154119c1a22
hex26e58fc00

10441260032 has 88 divisors (see below), whose sum is σ = 24101607264. Its totient is φ = 4428398592.

The previous prime is 10441260023. The next prime is 10441260041. The reversal of 10441260032 is 23006214401.

It is an interprime number because it is at equal distance from previous prime (10441260023) and next prime (10441260041).

It is a super-2 number, since 2×104412600322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687788 + ... + 702804.

Almost surely, 210441260032 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 10441260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050803632).

10441260032 is an abundant number, since it is smaller than the sum of its proper divisors (13660347232).

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

10441260032 is an equidigital number, since it uses as much as digits as its factorization.

10441260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10441260032 its reverse (23006214401), we get a palindrome (33447474433).

The spelling of 10441260032 in words is "ten billion, four hundred forty-one million, two hundred sixty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 256 388 448 512 679 776 896 1024 1358 1552 1792 2716 3104 3584 5432 6208 7168 10864 12416 15017 21728 24832 30034 43456 49664 60068 86912 99328 105119 120136 173824 210238 240272 347648 420476 480544 695296 840952 961088 1456649 1681904 1922176 2913298 3363808 3844352 5826596 6727616 7688704 10196543 11653192 13455232 15377408 20393086 23306384 26910464 40786172 46612768 53820928 81572344 93225536 107641856 163144688 186451072 326289376 372902144 652578752 745804288 1305157504 1491608576 2610315008 5220630016 10441260032