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138114031428 = 223220271892699
BaseRepresentation
bin1000000010100000111…
…1001101111101000100
3111012111101220202020100
42000220033031331010
54230324143001203
6143240531004100
712656410616442
oct2005017157504
9435441822210
10138114031428
115363485202a
1222926139630
1310040c31c69
146982d77b92
1538d5385ea3
hex20283cdf44

138114031428 has 36 divisors (see below), whose sum is σ = 349293999600. Its totient is φ = 46015273776.

The previous prime is 138114031421. The next prime is 138114031477. The reversal of 138114031428 is 824130411831.

138114031428 is a `hidden beast` number, since 13 + 81 + 140 + 3 + 1 + 428 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1381140314283 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138114031392 and 138114031401.

It is not an unprimeable number, because it can be changed into a prime (138114031421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873378 + ... + 1019321.

It is an arithmetic number, because the mean of its divisors is an integer number (9702611100).

Almost surely, 2138114031428 is an apocalyptic number.

138114031428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138114031428 is an abundant number, since it is smaller than the sum of its proper divisors (211179968172).

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

138114031428 is a wasteful number, since it uses less digits than its factorization.

138114031428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894736 (or 1894731 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 138114031428 in words is "one hundred thirty-eight billion, one hundred fourteen million, thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2027 4054 6081 8108 12162 18243 24324 36486 72972 1892699 3785398 5678097 7570796 11356194 17034291 22712388 34068582 68137164 3836500873 7673001746 11509502619 15346003492 23019005238 34528507857 46038010476 69057015714 138114031428