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42334201200 = 2435237953473
BaseRepresentation
bin100111011011010100…
…001010010101110000
311001021100021020120210
4213123110022111300
51143200023414300
631240440504120
73026036526054
oct473324122560
9131240236523
1042334201200
1116a54609a45
12825577b040
133cb88409c5
1420985bdc64
15117b8b2050
hex9db50a570

42334201200 has 120 divisors (see below), whose sum is σ = 139275854128. Its totient is φ = 10983997440.

The previous prime is 42334201199. The next prime is 42334201223. The reversal of 42334201200 is 210243324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432337 + ... + 521136.

Almost surely, 242334201200 is an apocalyptic number.

42334201200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334201200 is an abundant number, since it is smaller than the sum of its proper divisors (96941652928).

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

42334201200 is a wasteful number, since it uses less digits than its factorization.

42334201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953531 (or 953520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42334201200 its reverse (210243324), we get a palindrome (42544444524).

The spelling of 42334201200 in words is "forty-two billion, three hundred thirty-four million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 953473 1906946 2860419 3813892 4767365 5720838 7627784 9534730 11441676 14302095 15255568 19069460 22883352 23836825 28604190 35278501 38138920 45766704 47673650 57208380 70557002 71510475 76277840 95347300 105835503 114416760 141114004 143020950 176392505 190694600 211671006 228833520 282228008 286041900 352785010 381389200 423342012 529177515 564456016 572083800 705570020 846684024 881962525 1058355030 1144167600 1411140040 1693368048 1763925050 2116710060 2645887575 2822280080 3527850100 4233420120 5291775150 7055700200 8466840240 10583550300 14111400400 21167100600 42334201200