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2140323234200 = 2352251313136217
BaseRepresentation
bin11111001001010101001…
…101001100000110011000
321120121112210202201200022
4133021111031030012120
5240031340221443300
64315130110530012
7310430130213104
oct37112515140630
97517483681608
102140323234200
11755784738628
122a6985b06908
13126aa709a6b8
1475840dbc904
153aa1c29c285
hex1f25534c198

2140323234200 has 96 divisors (see below), whose sum is σ = 5012075925360. Its totient is φ = 849987840000.

The previous prime is 2140323234143. The next prime is 2140323234209. The reversal of 2140323234200 is 24323230412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140323234200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140323234209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15644492 + ... + 15780708.

Almost surely, 22140323234200 is an apocalyptic number.

2140323234200 is a gapful number since it is divisible by the number (20) 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 2140323234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506037962680).

2140323234200 is an abundant number, since it is smaller than the sum of its proper divisors (2871752691160).

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

2140323234200 is a wasteful number, since it uses less digits than its factorization.

2140323234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136797 (or 136788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2140323234200 its reverse (24323230412), we get a palindrome (2164646464612).

The spelling of 2140323234200 in words is "two trillion, one hundred forty billion, three hundred twenty-three million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 313 502 626 1004 1252 1255 1565 2008 2504 2510 3130 5020 6260 6275 7825 10040 12520 12550 15650 25100 31300 50200 62600 78563 136217 157126 272434 314252 392815 544868 628504 681085 785630 1089736 1362170 1571260 1964075 2724340 3142520 3405425 3928150 5448680 6810850 7856300 13621700 15712600 27243400 34190467 42635921 68380934 85271842 136761868 170543684 170952335 213179605 273523736 341087368 341904670 426359210 683809340 852718420 854761675 1065898025 1367618680 1705436840 1709523350 2131796050 3419046700 4263592100 6838093400 8527184200 10701616171 21403232342 42806464684 53508080855 85612929368 107016161710 214032323420 267540404275 428064646840 535080808550 1070161617100 2140323234200