Search a number
-
+
14093778972 = 22371314398969
BaseRepresentation
bin11010010000000111…
…00000000000011100
31100101012221011010210
431020003200000130
5212331001411342
610250302332420
71006154100420
oct151003400034
940335834123
1014093778972
115a82630819
122893b8a110
131437b84bb0
14979b28b80
155774a979c
hex3480e001c

14093778972 has 96 divisors (see below), whose sum is σ = 40507084800. Its totient is φ = 3714043392.

The previous prime is 14093778967. The next prime is 14093778983. The reversal of 14093778972 is 27987739041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566904 + ... + 1575872.

It is an arithmetic number, because the mean of its divisors is an integer number (421948800).

Almost surely, 214093778972 is an apocalyptic number.

14093778972 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 14093778972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253542400).

14093778972 is an abundant number, since it is smaller than the sum of its proper divisors (26413305828).

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

14093778972 is a wasteful number, since it uses less digits than its factorization.

14093778972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 14093778972 in words is "fourteen billion, ninety-three million, seven hundred seventy-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1439 2878 4317 5756 8634 8969 10073 17268 17938 18707 20146 26907 30219 35876 37414 40292 53814 56121 60438 62783 74828 107628 112242 116597 120876 125566 130949 188349 224484 233194 251132 261898 349791 376698 392847 466388 523796 699582 753396 785694 816179 1399164 1571388 1632358 2448537 3264716 4897074 9794148 12906391 25812782 38719173 51625564 77438346 90344737 154876692 167783083 180689474 271034211 335566166 361378948 503349249 542068422 671132332 1006698498 1084136844 1174481581 2013396996 2348963162 3523444743 4697926324 7046889486 14093778972