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100044244014 = 231121361173773
BaseRepresentation
bin101110100101100011…
…0100000010000101110
3100120020020220011121220
41131023012200100232
53114342311302024
6113543143204210
710141122020541
oct1351306402056
9316206804556
10100044244014
1139479405300
1217480746666
139584a30c30
144bb0c9a858
152908078e79
hex174b1a042e

100044244014 has 96 divisors (see below), whose sum is σ = 240733987872. Its totient is φ = 27525484800.

The previous prime is 100044244007. The next prime is 100044244063. The reversal of 100044244014 is 410442440001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488832 + ... + 662604.

It is an arithmetic number, because the mean of its divisors is an integer number (2507645707).

Almost surely, 2100044244014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100044244014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120366993936).

100044244014 is an abundant number, since it is smaller than the sum of its proper divisors (140689743858).

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

100044244014 is a wasteful number, since it uses less digits than its factorization.

100044244014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173874 (or 173863 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100044244014 its reverse (410442440001), we get a palindrome (510486684015).

The spelling of 100044244014 in words is "one hundred billion, forty-four million, two hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 121 122 143 183 242 286 363 366 429 671 726 793 858 1342 1573 1586 2013 2379 3146 4026 4719 4758 7381 8723 9438 14762 17446 22143 26169 44286 52338 95953 173773 191906 287859 347546 521319 575718 1042638 1911503 2259049 3823006 4518098 5734509 6777147 10600153 11469018 13554294 21026533 21200306 24849539 31800459 42053066 49699078 63079599 63600918 74548617 116601683 126159198 137801989 149097234 233203366 273344929 275603978 349805049 413405967 546689858 699610098 820034787 826811934 1282618513 1515821879 1640069574 2565237026 3031643758 3847855539 4547465637 7695711078 9094931274 16674040669 33348081338 50022122007 100044244014