Search a number
-
+
14392793088 = 211323125189
BaseRepresentation
bin11010110011110000…
…01001100000000000
31101011001120122101200
431121320021200000
5213434023334323
610340103301200
71016444502612
oct153170114000
941131518350
1014392793088
1161163a1523
12295814a800
131484ac901b
149a7722db2
15593871443
hex359e09800

14392793088 has 144 divisors (see below), whose sum is σ = 42911668800. Its totient is φ = 4642652160.

The previous prime is 14392793081. The next prime is 14392793089. The reversal of 14392793088 is 88039729341.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14392793081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558798 + ... + 583986.

It is an arithmetic number, because the mean of its divisors is an integer number (297997700).

Almost surely, 214392793088 is an apocalyptic number.

14392793088 is a gapful number since it is divisible by the number (18) 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 14392793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455834400).

14392793088 is an abundant number, since it is smaller than the sum of its proper divisors (28518875712).

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

14392793088 is a wasteful number, since it uses less digits than its factorization.

14392793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25248 (or 25225 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 14392793088 in words is "fourteen billion, three hundred ninety-two million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4464 4608 5952 6144 7936 8928 9216 11904 15872 17856 18432 23808 25189 31744 35712 47616 50378 63488 71424 75567 95232 100756 142848 151134 190464 201512 226701 285696 302268 403024 453402 571392 604536 780859 806048 906804 1209072 1561718 1612096 1813608 2342577 2418144 3123436 3224192 3627216 4685154 4836288 6246872 6448384 7027731 7254432 9370308 9672576 12493744 12896768 14055462 14508864 18740616 19345152 24987488 25793536 28110924 29017728 37481232 38690304 49974976 51587072 56221848 58035456 74962464 77380608 99949952 112443696 116070912 149924928 154761216 199899904 224887392 232141824 299849856 399799808 449774784 464283648 599699712 799599616 899549568 1199399424 1599199232 1799099136 2398798848 3598198272 4797597696 7196396544 14392793088