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14122925628 = 2237264737123
BaseRepresentation
bin11010010011100101…
…01011111000111100
31100110020202221211120
431021302223320330
5212410432110003
610253223150540
71006656613200
oct151162537074
940406687746
1014122925628
115a98029069
1228a18a5450
131440c1b636
1497d954b00
15579d15853
hex349cabe3c

14122925628 has 72 divisors (see below), whose sum is σ = 38393937792. Its totient is φ = 4028776416.

The previous prime is 14122925623. The next prime is 14122925693. The reversal of 14122925628 is 82652922141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14122925628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122925623) 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 23 ways as a sum of consecutive naturals, for example, 361875 + ... + 398997.

It is an arithmetic number, because the mean of its divisors is an integer number (533249136).

Almost surely, 214122925628 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 14122925628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196968896).

14122925628 is an abundant number, since it is smaller than the sum of its proper divisors (24271012164).

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

14122925628 is a wasteful number, since it uses less digits than its factorization.

14122925628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37791 (or 37782 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 14122925628 in words is "fourteen billion, one hundred twenty-two million, nine hundred twenty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 647 1294 1941 2588 3882 4529 7764 9058 13587 18116 27174 31703 37123 54348 63406 74246 95109 111369 126812 148492 190218 222738 259861 380436 445476 519722 779583 1039444 1559166 1819027 3118332 3638054 5457081 7276108 10914162 21828324 24018581 48037162 72055743 96074324 144111486 168130067 288222972 336260134 504390201 672520268 1008780402 1176910469 2017560804 2353820938 3530731407 4707641876 7061462814 14122925628