Search a number
-
+
104441412024 = 233217109777783
BaseRepresentation
bin110000101000100110…
…0010111100110111000
3100222120200221110011100
41201101030113212320
53202344000141044
6115551341531400
710355104232415
oct1412114274670
9328520843140
10104441412024
11403254aa754
12182a9273b60
139b05a11bb1
1450aac7910c
152ab4103869
hex18513179b8

104441412024 has 96 divisors (see below), whose sum is σ = 299777980320. Its totient is φ = 32735643648.

The previous prime is 104441411959. The next prime is 104441412091. The reversal of 104441412024 is 420214144401.

It is a happy number.

104441412024 is a `hidden beast` number, since 1 + 0 + 44 + 414 + 1 + 202 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303837 + ... + 1381619.

It is an arithmetic number, because the mean of its divisors is an integer number (3122687295).

Almost surely, 2104441412024 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 104441412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149888990160).

104441412024 is an abundant number, since it is smaller than the sum of its proper divisors (195336568296).

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

104441412024 is a wasteful number, since it uses less digits than its factorization.

104441412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78909 (or 78902 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104441412024 its reverse (420214144401), we get a palindrome (524655556425).

The spelling of 104441412024 in words is "one hundred four billion, four hundred forty-one million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1097 1224 2194 3291 4388 6582 8776 9873 13164 18649 19746 26328 37298 39492 55947 74596 77783 78984 111894 149192 155566 167841 223788 233349 311132 335682 447576 466698 622264 671364 700047 933396 1322311 1342728 1400094 1866792 2644622 2800188 3966933 5289244 5600376 7933866 10578488 11900799 15867732 23801598 31735464 47603196 85327951 95206392 170655902 255983853 341311804 511967706 682623608 767951559 1023935412 1450575167 1535903118 2047870824 2901150334 3071806236 4351725501 5802300668 6143612472 8703451002 11604601336 13055176503 17406902004 26110353006 34813804008 52220706012 104441412024