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100141144044 = 223175367713681
BaseRepresentation
bin101110101000011100…
…0001001011111101100
3100120111000020012110220
41131100320021133230
53120042113102134
6114000524131340
710143406452114
oct1352070113754
9316430205426
10100141144044
1139519079777
12174a9096b50
13959bb2a726
144bbdac2044
15291181a149
hex1750e097ec

100141144044 has 96 divisors (see below), whose sum is σ = 252466393536. Its totient is φ = 30776279040.

The previous prime is 100141144043. The next prime is 100141144067. The reversal of 100141144044 is 440441141001.

It is not an unprimeable number, because it can be changed into a prime (100141144043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7312884 + ... + 7326564.

It is an arithmetic number, because the mean of its divisors is an integer number (2629858266).

Almost surely, 2100141144044 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 100141144044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126233196768).

100141144044 is an abundant number, since it is smaller than the sum of its proper divisors (152325249492).

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

100141144044 is a wasteful number, since it uses less digits than its factorization.

100141144044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 100141144044 its reverse (440441141001), we get a palindrome (540582285045).

The spelling of 100141144044 in words is "one hundred billion, one hundred forty-one million, one hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 677 901 1354 1802 2031 2703 2708 3604 4062 5406 8124 10812 11509 13681 23018 27362 34527 35881 41043 46036 54724 69054 71762 82086 107643 138108 143524 164172 215286 232577 430572 465154 609977 697731 725093 930308 1219954 1395462 1450186 1829931 2175279 2439908 2790924 2900372 3659862 4350558 7319724 8701116 9262037 12326581 18524074 24653162 27786111 36979743 37048148 49306324 55572222 73959486 111144444 147918972 157454629 314909258 472363887 490887961 629818516 944727774 981775922 1472663883 1889455548 1963551844 2945327766 5890655532 8345095337 16690190674 25035286011 33380381348 50070572022 100141144044