Search a number
-
+
100144333044 = 22337711865719
BaseRepresentation
bin101110101000100010…
…0010100000011110100
3100120111020020012222000
41131101010110003310
53120043422124134
6114001120335300
710143445533360
oct1352104240364
9316436205860
10100144333044
113951a957708
12174aa174530
13959c6a6102
144bc02b22a0
152911c49e99
hex17511140f4

100144333044 has 96 divisors (see below), whose sum is σ = 300903321600. Its totient is φ = 28209656160.

The previous prime is 100144333031. The next prime is 100144333061. The reversal of 100144333044 is 440333441001.

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 = 100144332999 and 100144333017.

It is a congruent number.

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, 879184 + ... + 986535.

It is an arithmetic number, because the mean of its divisors is an integer number (3134409600).

Almost surely, 2100144333044 is an apocalyptic number.

100144333044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100144333044 is an abundant number, since it is smaller than the sum of its proper divisors (200758988556).

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

100144333044 is a wasteful number, since it uses less digits than its factorization.

100144333044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865810 (or 1865802 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100144333044 its reverse (440333441001), we get a palindrome (540477774045).

The spelling of 100144333044 in words is "one hundred billion, one hundred forty-four million, three hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 756 852 994 1278 1491 1917 1988 2556 2982 3834 4473 5964 7668 8946 13419 17892 26838 53676 1865719 3731438 5597157 7462876 11194314 13060033 16791471 22388628 26120066 33582942 39180099 50374413 52240132 67165884 78360198 100748826 117540297 132466049 156720396 201497652 235080594 264932098 352620891 397398147 470161188 529864196 705241782 794796294 927262343 1192194441 1410483564 1589592588 1854524686 2384388882 2781787029 3576583323 3709049372 4768777764 5563574058 7153166646 8345361087 11127148116 14306333292 16690722174 25036083261 33381444348 50072166522 100144333044