Search a number
-
+
14232405400 = 23522914991637
BaseRepresentation
bin11010100000101000…
…10100010110011000
31100201212210002211221
431100110110112120
5213121443433100
610312133501424
71012456310203
oct152024242630
940655702757
1014232405400
116043904914
1229124a1874
13145a800c75
149902d293a
1558473e01a
hex350514598

14232405400 has 96 divisors (see below), whose sum is σ = 34275150000. Its totient is φ = 5489630720.

The previous prime is 14232405269. The next prime is 14232405433. The reversal of 14232405400 is 450423241.

It is a happy number.

It is a super-2 number, since 2×142324054002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8693382 + ... + 8695018.

Almost surely, 214232405400 is an apocalyptic number.

14232405400 is a gapful number since it is divisible by the number (10) 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 14232405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137575000).

14232405400 is an abundant number, since it is smaller than the sum of its proper divisors (20042744600).

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

14232405400 is a wasteful number, since it uses less digits than its factorization.

14232405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14232405400 its reverse (450423241), we get a palindrome (14682828641).

The spelling of 14232405400 in words is "fourteen billion, two hundred thirty-two million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 1499 1637 2900 2998 3274 5800 5996 6548 7495 8185 11992 13096 14990 16370 29980 32740 37475 40925 43471 47473 59960 65480 74950 81850 86942 94946 149900 163700 173884 189892 217355 237365 299800 327400 347768 379784 434710 474730 869420 949460 1086775 1186825 1738840 1898920 2173550 2373650 2453863 4347100 4747300 4907726 8694200 9494600 9815452 12269315 19630904 24538630 49077260 61346575 71162027 98154520 122693150 142324054 245386300 284648108 355810135 490772600 569296216 711620270 1423240540 1779050675 2846481080 3558101350 7116202700 14232405400