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203440313142 = 232112151618589
BaseRepresentation
bin1011110101110111111…
…1001101001100110110
3201110010002211200220200
42331131333031030312
511313121210010032
6233243103541330
720461304062323
oct2753577151466
9643102750820
10203440313142
1179307831400
12335178ba846
1316251cbb221
149bbcd83b4a
15545a4e147c
hex2f5dfcd336

203440313142 has 72 divisors (see below), whose sum is σ = 487711202160. Its totient is φ = 61240212000.

The previous prime is 203440313129. The next prime is 203440313171. The reversal of 203440313142 is 241313044302.

203440313142 is a `hidden beast` number, since 2 + 0 + 344 + 0 + 3 + 1 + 314 + 2 = 666.

It is a super-2 number, since 2×2034403131422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19584 + ... + 638172.

Almost surely, 2203440313142 is an apocalyptic number.

203440313142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203440313142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855601080).

203440313142 is an abundant number, since it is smaller than the sum of its proper divisors (284270889018).

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

203440313142 is a wasteful number, since it uses less digits than its factorization.

203440313142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618770 (or 618756 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 203440313142 its reverse (241313044302), we get a palindrome (444753357444).

The spelling of 203440313142 in words is "two hundred three billion, four hundred forty million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 151 198 242 302 363 453 726 906 1089 1359 1661 2178 2718 3322 4983 9966 14949 18271 29898 36542 54813 109626 164439 328878 618589 1237178 1855767 3711534 5567301 6804479 11134602 13608958 20413437 40826874 61240311 74849269 93406939 122480622 149698538 186813878 224547807 280220817 449095614 560441634 673643421 840662451 1027476329 1347286842 1681324902 2054952658 3082428987 6164857974 9247286961 11302239619 18494573922 22604479238 33906718857 67813437714 101720156571 203440313142