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100244440044 = 223273719106963
BaseRepresentation
bin101110101011100001…
…0001100001111101100
3100120202012121011221200
41131113002030033230
53120300034040134
6114015054125500
710146102452460
oct1352702141754
9316665534850
10100244440044
1139571411571
12175177b0890
1395b7356518
144bcd6d04a0
15291a921499
hex175708c3ec

100244440044 has 72 divisors (see below), whose sum is σ = 289675626240. Its totient is φ = 28633299552.

The previous prime is 100244440033. The next prime is 100244440057. The reversal of 100244440044 is 440044442001.

100244440044 is a `hidden beast` number, since 10 + 0 + 244 + 4 + 400 + 4 + 4 = 666.

100244440044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002444400442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 883707 + ... + 990669.

Almost surely, 2100244440044 is an apocalyptic number.

100244440044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100244440044 is an abundant number, since it is smaller than the sum of its proper divisors (189431186196).

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

100244440044 is a wasteful number, since it uses less digits than its factorization.

100244440044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110699 (or 110694 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100244440044 its reverse (440044442001), we get a palindrome (540288882045).

The spelling of 100244440044 in words is "one hundred billion, two hundred forty-four million, four hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3719 7438 11157 14876 22314 26033 33471 44628 52066 66942 78099 104132 106963 133884 156198 213926 234297 312396 320889 427852 468594 641778 748741 937188 962667 1283556 1497482 1925334 2246223 2994964 3850668 4492446 6738669 8984892 13477338 26954676 397795397 795590794 1193386191 1591181588 2386772382 2784567779 3580158573 4773544764 5569135558 7160317146 8353703337 11138271116 14320634292 16707406674 25061110011 33414813348 50122220022 100244440044