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142231142200 = 23527419242467
BaseRepresentation
bin1000010001110110100…
…0101111111100111000
3111121010022222122110111
42010131220233330320
54312242133022300
6145201242554104
713163422522030
oct2043550577470
9447108878414
10142231142200
1155357854314
1223694b08934
1310548ba8494
146c53a948c0
153a76a409ba
hex211da2ff38

142231142200 has 96 divisors (see below), whose sum is σ = 378832003200. Its totient is φ = 48648378240.

The previous prime is 142231142197. The next prime is 142231142213. The reversal of 142231142200 is 2241132241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465367 + ... + 707833.

It is an arithmetic number, because the mean of its divisors is an integer number (3946166700).

Almost surely, 2142231142200 is an apocalyptic number.

142231142200 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 142231142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416001600).

142231142200 is an abundant number, since it is smaller than the sum of its proper divisors (236600861000).

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

142231142200 is a wasteful number, since it uses less digits than its factorization.

142231142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242909 (or 242900 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 142231142200 its reverse (2241132241), we get a palindrome (144472274441).

The spelling of 142231142200 in words is "one hundred forty-two billion, two hundred thirty-one million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 419 700 838 1400 1676 2095 2933 3352 4190 5866 8380 10475 11732 14665 16760 20950 23464 29330 41900 58660 73325 83800 117320 146650 242467 293300 484934 586600 969868 1212335 1697269 1939736 2424670 3394538 4849340 6061675 6789076 8486345 9698680 12123350 13578152 16972690 24246700 33945380 42431725 48493400 67890760 84863450 101593673 169726900 203187346 339453800 406374692 507968365 711155711 812749384 1015936730 1422311422 2031873460 2539841825 2844622844 3555778555 4063746920 5079683650 5689245688 7111557110 10159367300 14223114220 17778892775 20318734600 28446228440 35557785550 71115571100 142231142200