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138994429833 = 32721923816967
BaseRepresentation
bin1000000101110010110…
…1101010111110001001
3111021202202112121210200
42001130231222332021
54234130033223313
6143504141002413
713020261105600
oct2013455527611
9437682477720
10138994429833
1153a46806416
1222b30b53409
131015145466c
146a27c70a37
1539377deb73
hex205cb6af89

138994429833 has 72 divisors (see below), whose sum is σ = 245979040320. Its totient is φ = 75202706880.

The previous prime is 138994429831. The next prime is 138994429837. The reversal of 138994429833 is 338924499831.

138994429833 is a `hidden beast` number, since 13 + 8 + 99 + 442 + 98 + 3 + 3 = 666.

138994429833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138994429833 - 21 = 138994429831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138994429831) 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 71 ways as a sum of consecutive naturals, for example, 19946916 + ... + 19953882.

It is an arithmetic number, because the mean of its divisors is an integer number (3416375560).

Almost surely, 2138994429833 is an apocalyptic number.

It is an amenable number.

138994429833 is a deficient number, since it is larger than the sum of its proper divisors (106984610487).

138994429833 is a wasteful number, since it uses less digits than its factorization.

138994429833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9377 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 138994429833 in words is "one hundred thirty-eight billion, nine hundred ninety-four million, four hundred twenty-nine thousand, eight hundred thirty-three".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2381 2793 6967 7143 8379 16667 20901 21429 45239 48769 50001 62703 116669 132373 135717 146307 150003 316673 341383 350007 397119 407151 438921 926611 950019 1024149 1050021 1191357 2216711 2779833 2850057 3072447 6486277 6650133 8339499 16588427 19458831 19950399 49765281 58376493 116118989 149295843 315180113 348356967 812832923 945540339 1045070901 2206260791 2438498769 2836621017 6618782373 7315496307 15443825537 19856347119 46331476611 138994429833