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14372689144 = 23112317341047
BaseRepresentation
bin11010110001010110…
…11101010011111000
31101002122202020222011
431120223131103320
5213413402023034
610334104335304
71016111561542
oct153053352370
941078666864
1014372689144
1161060100a0
122951474534
1314808aa4b8
149a4bac692
15591bee864
hex358add4f8

14372689144 has 64 divisors (see below), whose sum is σ = 30854960640. Its totient is φ = 6212722560.

The previous prime is 14372689129. The next prime is 14372689147. The reversal of 14372689144 is 44198627341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14372689147) 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 15 ways as a sum of consecutive naturals, for example, 329629 + ... + 370675.

It is an arithmetic number, because the mean of its divisors is an integer number (482108760).

Almost surely, 214372689144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14372689144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427480320).

14372689144 is an abundant number, since it is smaller than the sum of its proper divisors (16482271496).

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

14372689144 is a wasteful number, since it uses less digits than its factorization.

14372689144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41260 (or 41256 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The spelling of 14372689144 in words is "fourteen billion, three hundred seventy-two million, six hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 173 184 253 346 506 692 1012 1384 1903 2024 3806 3979 7612 7958 15224 15916 31832 41047 43769 82094 87538 164188 175076 328376 350152 451517 903034 944081 1806068 1888162 3612136 3776324 7101131 7552648 10384891 14202262 20769782 28404524 41539564 56809048 78112441 83079128 156224882 163326013 312449764 326652026 624899528 653304052 1306608104 1796586143 3593172286 7186344572 14372689144