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14312234000 = 245373167587
BaseRepresentation
bin11010101010001001…
…10101110000010000
31100221102222211002202
431111010311300100
5213302412442000
610324104502332
71014445660511
oct152504656020
940842884082
1014312234000
116084979269
12293517a9a8
13147120131c
1499ab52a08
1558b75bdd5
hex355135c10

14312234000 has 160 divisors (see below), whose sum is σ = 35351237376. Its totient is φ = 5603097600.

The previous prime is 14312233997. The next prime is 14312234009. The reversal of 14312234000 is 43221341.

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

It is not an unprimeable number, because it can be changed into a prime (14312234009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24381707 + ... + 24382293.

Almost surely, 214312234000 is an apocalyptic number.

14312234000 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 14312234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675618688).

14312234000 is an abundant number, since it is smaller than the sum of its proper divisors (21039003376).

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

14312234000 is a wasteful number, since it uses less digits than its factorization.

14312234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

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

Adding to 14312234000 its reverse (43221341), we get a palindrome (14355455341).

The spelling of 14312234000 in words is "fourteen billion, three hundred twelve million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 167 200 250 292 334 365 400 500 584 587 668 730 835 1000 1168 1174 1336 1460 1670 1825 2000 2348 2672 2920 2935 3340 3650 4175 4696 5840 5870 6680 7300 8350 9125 9392 11740 12191 13360 14600 14675 16700 18250 20875 23480 24382 29200 29350 33400 36500 41750 42851 46960 48764 58700 60955 66800 73000 73375 83500 85702 97528 98029 117400 121910 146000 146750 167000 171404 195056 196058 214255 234800 243820 293500 304775 334000 342808 392116 428510 487640 490145 587000 609550 685616 784232 857020 975280 980290 1071275 1174000 1219100 1523875 1568464 1714040 1960580 2142550 2438200 2450725 3047750 3428080 3921160 4285100 4876400 4901450 5356375 6095500 7156117 7842320 8570200 9802900 10712750 12191000 12253625 14312234 17140400 19605800 21425500 24382000 24507250 28624468 35780585 39211600 42851000 49014500 57248936 71561170 85702000 98029000 114497872 143122340 178902925 196058000 286244680 357805850 572489360 715611700 894514625 1431223400 1789029250 2862446800 3578058500 7156117000 14312234000