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138144912804 = 22333734570799
BaseRepresentation
bin1000000010101000010…
…1000001010110100100
3111012120120000200112000
42000222011001112210
54230410044202204
6143243552525300
712660234245553
oct2005205012644
9435516020460
10138144912804
1153650224728
1222934550830
1310047455172
1469870d5d9a
1538d7e36039
hex202a1415a4

138144912804 has 48 divisors (see below), whose sum is σ = 367833312000. Its totient is φ = 44803754208.

The previous prime is 138144912799. The next prime is 138144912809. The reversal of 138144912804 is 408219441831.

138144912804 is a `hidden beast` number, since 1 + 3 + 81 + 4 + 491 + 2 + 80 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (138144912799) and next prime (138144912809).

It is a self number, because there is not a number n which added to its sum of digits gives 138144912804.

It is not an unprimeable number, because it can be changed into a prime (138144912809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17281404 + ... + 17289395.

It is an arithmetic number, because the mean of its divisors is an integer number (7663194000).

Almost surely, 2138144912804 is an apocalyptic number.

It is an amenable number.

138144912804 is an abundant number, since it is smaller than the sum of its proper divisors (229688399196).

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

138144912804 is a wasteful number, since it uses less digits than its factorization.

138144912804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34570849 (or 34570841 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138144912804 in words is "one hundred thirty-eight billion, one hundred forty-four million, nine hundred twelve thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 34570799 69141598 103712397 138283196 207424794 311137191 414849588 622274382 933411573 1244548764 1279119563 1866823146 2558239126 3733646292 3837358689 5116478252 7674717378 11512076067 15349434756 23024152134 34536228201 46048304268 69072456402 138144912804