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100244344144 = 2476114672767
BaseRepresentation
bin101110101011100000…
…1110100110101010000
3100120202012102022101211
41131113001310311100
53120300023003034
6114015052105504
710146101603050
oct1352701646520
9316665368354
10100244344144
113957135650a
1217517765294
1395b7321989
144bcd6a7560
15291a902d64
hex1757074d50

100244344144 has 40 divisors (see below), whose sum is σ = 225608480768. Its totient is φ = 42257566080.

The previous prime is 100244344129. The next prime is 100244344153. The reversal of 100244344144 is 441443442001.

100244344144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7329552 + ... + 7343215.

Almost surely, 2100244344144 is an apocalyptic number.

100244344144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100244344144 is an abundant number, since it is smaller than the sum of its proper divisors (125364136624).

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

100244344144 is a wasteful number, since it uses less digits than its factorization.

100244344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672843 (or 14672837 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 100244344144 its reverse (441443442001), we get a palindrome (541687786145).

The spelling of 100244344144 in words is "one hundred billion, two hundred forty-four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 976 1708 3416 6832 14672767 29345534 58691068 102709369 117382136 205418738 234764272 410837476 821674952 895038787 1643349904 1790077574 3580155148 6265271509 7160310296 12530543018 14320620592 25061086036 50122172072 100244344144