Search a number
-
+
100440034452 = 223330716991783
BaseRepresentation
bin101110110001010110…
…0010100110010010100
3100121020211122102001000
41131202230110302110
53121200122100302
6114050322303300
710153666130532
oct1354254246224
9317224572030
10100440034452
113966186553a
12175711b7b30
139618a2a464
144c0b687152
15292cbaa31c
hex1762b14c94

100440034452 has 96 divisors (see below), whose sum is σ = 261548672000. Its totient is φ = 33332609376.

The previous prime is 100440034447. The next prime is 100440034489. The reversal of 100440034452 is 254430044001.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 56331153 + ... + 56332935.

Almost surely, 2100440034452 is an apocalyptic number.

100440034452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100440034452 is an abundant number, since it is smaller than the sum of its proper divisors (161108637548).

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

100440034452 is a wasteful number, since it uses less digits than its factorization.

100440034452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 100440034452 its reverse (254430044001), we get a palindrome (354870078453).

The spelling of 100440034452 in words is "one hundred billion, four hundred forty million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 307 614 921 1228 1699 1783 1842 2763 3398 3566 3684 5097 5349 5526 6796 7132 8289 10194 10698 11052 15291 16047 16578 20388 21396 30582 32094 33156 45873 48141 61164 64188 91746 96282 183492 192564 521593 547381 1043186 1094762 1564779 1642143 2086372 2189524 3029317 3129558 3284286 4694337 4926429 6058634 6259116 6568572 9087951 9388674 9852858 12117268 14083011 14779287 18175902 18777348 19705716 27263853 28166022 29558574 36351804 54527706 56332044 59117148 81791559 109055412 163583118 327166236 930000319 1860000638 2790000957 3720001276 5580001914 8370002871 11160003828 16740005742 25110008613 33480011484 50220017226 100440034452