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138511181412 = 22337317568643
BaseRepresentation
bin1000000011111111101…
…0001110011001100100
3111020112002020001121000
42000333322032121210
54232132330301122
6143344155153300
713002302421222
oct2007772163144
9436462201530
10138511181412
1153818a5075a
1222a17145830
13100a52b6256
1469bd9d9b12
15390a1850ac
hex203fe8e664

138511181412 has 48 divisors (see below), whose sum is σ = 364022303680. Its totient is φ = 45537920064.

The previous prime is 138511181399. The next prime is 138511181423. The reversal of 138511181412 is 214181115831.

It is a happy number.

138511181412 is a `hidden beast` number, since 13 + 8 + 51 + 1 + 181 + 412 = 666.

138511181412 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 2×1385111814122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 8776438 + ... + 8792205.

Almost surely, 2138511181412 is an apocalyptic number.

138511181412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138511181412 is an abundant number, since it is smaller than the sum of its proper divisors (225511122268).

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

138511181412 is a wasteful number, since it uses less digits than its factorization.

138511181412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568729 (or 17568721 counting only the distinct ones).

The product of its digits is 7680, while the sum is 36.

The spelling of 138511181412 in words is "one hundred thirty-eight billion, five hundred eleven million, one hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 17568643 35137286 52705929 70274572 105411858 158117787 210823716 316235574 474353361 632471148 948706722 1282510939 1897413444 2565021878 3847532817 5130043756 7695065634 11542598451 15390131268 23085196902 34627795353 46170393804 69255590706 138511181412