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144635135706 = 2333697724487
BaseRepresentation
bin1000011010110011101…
…1010000011011011010
3111211022212112011121000
42012230323100123122
54332203043320311
6150240000525430
713310123240325
oct2065473203332
9454285464530
10144635135706
1156380844206
1224046020876
131083cc61a49
1470010737bc
153b67b05056
hex21aced06da

144635135706 has 32 divisors (see below), whose sum is σ = 321498794880. Its totient is φ = 48198604608.

The previous prime is 144635135693. The next prime is 144635135707. The reversal of 144635135706 is 607531536441.

144635135706 is a `hidden beast` number, since 1 + 4 + 4 + 63 + 5 + 13 + 570 + 6 = 666.

144635135706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446351357062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144635135707) 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 15 ways as a sum of consecutive naturals, for example, 162606 + ... + 561881.

It is an arithmetic number, because the mean of its divisors is an integer number (10046837340).

Almost surely, 2144635135706 is an apocalyptic number.

144635135706 is an abundant number, since it is smaller than the sum of its proper divisors (176863659174).

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

144635135706 is a wasteful number, since it uses less digits than its factorization.

144635135706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728195 (or 728189 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 144635135706 in words is "one hundred forty-four billion, six hundred thirty-five million, one hundred thirty-five thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 3697 7394 11091 22182 33273 66546 99819 199638 724487 1448974 2173461 4346922 6520383 13040766 19561149 39122298 2678428439 5356856878 8035285317 16070570634 24105855951 48211711902 72317567853 144635135706