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14212424000 = 26534737799
BaseRepresentation
bin11010011110010000…
…00110000101000000
31100200111011221112002
431033020012011000
5213101340032000
610310141323132
71012124416325
oct151710060500
940614157462
1014212424000
1160335a7565
1229078664a8
131456626158
1498b7b0b4c
15582ae38d5
hex34f206140

14212424000 has 112 divisors (see below), whose sum is σ = 35946892800. Its totient is φ = 5563865600.

The previous prime is 14212423993. The next prime is 14212424029. The reversal of 14212424000 is 42421241.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357101 + ... + 394899.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 214212424000 is an apocalyptic number.

14212424000 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 14212424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973446400).

14212424000 is an abundant number, since it is smaller than the sum of its proper divisors (21734468800).

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

14212424000 is an equidigital number, since it uses as much as digits as its factorization.

14212424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37873 (or 37853 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14212424000 its reverse (42421241), we get a palindrome (14254845241).

The spelling of 14212424000 in words is "fourteen billion, two hundred twelve million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 160 188 200 235 250 320 376 400 470 500 752 800 940 1000 1175 1504 1600 1880 2000 2350 3008 3760 4000 4700 5875 7520 8000 9400 11750 15040 18800 23500 37600 37799 47000 75200 75598 94000 151196 188000 188995 302392 376000 377990 604784 755980 944975 1209568 1511960 1776553 1889950 2419136 3023920 3553106 3779900 4724875 6047840 7106212 7559800 8882765 9449750 12095680 14212424 15119600 17765530 18899500 28424848 30239200 35531060 37799000 44413825 56849696 60478400 71062120 75598000 88827650 113699392 142124240 151196000 177655300 222069125 284248480 302392000 355310600 444138250 568496960 710621200 888276500 1421242400 1776553000 2842484800 3553106000 7106212000 14212424000