Search a number
-
+
14233012400000 = 275535582531
BaseRepresentation
bin1100111100011110000110…
…1001011110111110000000
31212101122220002212022120102
43033013201221132332000
53331143202133300000
650134320003301532
72666205213152522
oct317074151367600
955348802768512
1014233012400000
11459820649a599
12171a55307a8a8
137c3223771804
14372c4aaaba12
1519a37768e3d5
hexcf1e1a5ef80

14233012400000 has 96 divisors (see below), whose sum is σ = 35441269347960. Its totient is φ = 5693204800000.

The previous prime is 14233012399987. The next prime is 14233012400059. The reversal of 14233012400000 is 421033241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17391266 + ... + 18191265.

Almost surely, 214233012400000 is an apocalyptic number.

14233012400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14233012400000 is an abundant number, since it is smaller than the sum of its proper divisors (21208256947960).

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

14233012400000 is an frugal number, since it uses more digits than its factorization.

14233012400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35582570 (or 35582538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14233012400000 its reverse (421033241), we get a palindrome (14233433433241).

The spelling of 14233012400000 in words is "fourteen trillion, two hundred thirty-three billion, twelve million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 35582531 71165062 142330124 177912655 284660248 355825310 569320496 711650620 889563275 1138640992 1423301240 1779126550 2277281984 2846602480 3558253100 4447816375 4554563968 5693204960 7116506200 8895632750 11386409920 14233012400 17791265500 22239081875 22772819840 28466024800 35582531000 44478163750 56932049600 71165062000 88956327500 111195409375 113864099200 142330124000 177912655000 222390818750 284660248000 355825310000 444781637500 569320496000 711650620000 889563275000 1423301240000 1779126550000 2846602480000 3558253100000 7116506200000 14233012400000