Search a number
-
+
140110010442012 = 223138346735936449
BaseRepresentation
bin11111110110110111100111…
…011001101110000100011100
3200101002101102112022000201110
4133312313213121232010130
5121331030300133121022
61213553352240342020
741340420446436522
oct3766674731560434
9611071375260643
10140110010442012
114070935a263616
121386a313014910
1360244181253c0
142685509a2c312
15112e8b249800c
hex7f6de766e11c

140110010442012 has 192 divisors, whose sum is σ = 357230880115200. Its totient is φ = 42481746518016.

The previous prime is 140110010442011. The next prime is 140110010442041. The reversal of 140110010442012 is 210244010011041.

It is a super-2 number, since 2×1401100104420122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140110010442012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140110010442011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21725847364 + ... + 21725853812.

It is an arithmetic number, because the mean of its divisors is an integer number (1860577500600).

Almost surely, 2140110010442012 is an apocalyptic number.

140110010442012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140110010442012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178615440057600).

140110010442012 is an abundant number, since it is smaller than the sum of its proper divisors (217120869673188).

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

140110010442012 is a wasteful number, since it uses less digits than its factorization.

140110010442012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 140110010442012 its reverse (210244010011041), we get a palindrome (350354020453053).

The spelling of 140110010442012 in words is "one hundred forty trillion, one hundred ten billion, ten million, four hundred forty-two thousand, twelve".