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14345650000 = 24551126083
BaseRepresentation
bin11010101110001000…
…10011111101010000
31101000202212112020101
431113010103331100
5213334441300000
610331301022144
71015333004323
oct152704237520
941022775211
1014345650000
1160a18221a0
1229443b4954
1314781010c6
149a13707ba
1558e65ce6a
hex357113f50

14345650000 has 120 divisors (see below), whose sum is σ = 37900886688. Its totient is φ = 5216400000.

The previous prime is 14345649949. The next prime is 14345650043. The reversal of 14345650000 is 5654341.

14345650000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536959 + ... + 563041.

Almost surely, 214345650000 is an apocalyptic number.

14345650000 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 14345650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18950443344).

14345650000 is an abundant number, since it is smaller than the sum of its proper divisors (23555236688).

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

14345650000 is an equidigital number, since it uses as much as digits as its factorization.

14345650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26127 (or 26101 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 14345650000 in words is "fourteen billion, three hundred forty-five million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 22000 25000 26083 27500 34375 50000 52166 55000 68750 104332 110000 130415 137500 208664 260830 275000 286913 417328 521660 550000 573826 652075 1043320 1147652 1304150 1434565 2086640 2295304 2608300 2869130 3260375 4590608 5216600 5738260 6520750 7172825 10433200 11476520 13041500 14345650 16301875 22953040 26083000 28691300 32603750 35864125 52166000 57382600 65207500 71728250 81509375 114765200 130415000 143456500 163018750 179320625 260830000 286913000 326037500 358641250 573826000 652075000 717282500 896603125 1304150000 1434565000 1793206250 2869130000 3586412500 7172825000 14345650000