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100070434044 = 22337218909757
BaseRepresentation
bin101110100110010101…
…0011010010011111100
3100120022002011202121000
41131030222122103330
53114421012342134
6113545520410300
710141560440400
oct1351452322374
9316262152530
10100070434044
1139492173259
1217489476990
13958a2a09a9
144bb4557100
15290a4ede99
hex174ca9a4fc

100070434044 has 72 divisors (see below), whose sum is σ = 301799737680. Its totient is φ = 28591551072.

The previous prime is 100070434019. The next prime is 100070434049. The reversal of 100070434044 is 440434070001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100070433999 and 100070434017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100070434049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9449587 + ... + 9460170.

Almost surely, 2100070434044 is an apocalyptic number.

100070434044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100070434044 is an abundant number, since it is smaller than the sum of its proper divisors (201729303636).

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

100070434044 is a wasteful number, since it uses less digits than its factorization.

100070434044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18909784 (or 18909769 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 100070434044 in words is "one hundred billion, seventy million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 18909757 37819514 56729271 75639028 113458542 132368299 170187813 226917084 264736598 340375626 397104897 510563439 529473196 680751252 794209794 926578093 1021126878 1191314691 1588419588 1853156186 2042253756 2382629382 2779734279 3573944073 3706312372 4765258764 5559468558 7147888146 8339202837 11118937116 14295776292 16678405674 25017608511 33356811348 50035217022 100070434044