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42434401333422 = 2372181843194583
BaseRepresentation
bin10011010011000000001110…
…11010101111000010101110
312120020200121101112001001110
421221200013122233002232
521030221123220132142
6230130032253252450
711636533011002400
oct1151400732570256
9176220541461043
1042434401333422
111258036832121a
1249140a3194126
131a8a715641157
14a69b9bd1ab70
154d8c3981a99c
hex2698076af0ae

42434401333422 has 96 divisors (see below), whose sum is σ = 99283199468544. Its totient is φ = 12055573051200.

The previous prime is 42434401333301. The next prime is 42434401333451. The reversal of 42434401333422 is 22433310443424.

It is a happy number.

It is a super-2 number, since 2×424344013334222 (a number of 28 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 47 ways as a sum of consecutive naturals, for example, 448599943 + ... + 448694525.

It is an arithmetic number, because the mean of its divisors is an integer number (1034199994464).

Almost surely, 242434401333422 is an apocalyptic number.

42434401333422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434401333422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641599734272).

42434401333422 is an abundant number, since it is smaller than the sum of its proper divisors (56848798135122).

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

42434401333422 is a wasteful number, since it uses less digits than its factorization.

42434401333422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103214 (or 103207 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 42434401333422 its reverse (22433310443424), we get a palindrome (64867711776846).

The spelling of 42434401333422 in words is "forty-two trillion, four hundred thirty-four billion, four hundred one million, three hundred thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 1086 1267 2534 3801 7602 8431 8869 16862 17738 25293 26607 50586 53214 59017 94583 118034 177051 189166 283749 354102 413119 567498 662081 826238 1239357 1324162 1526011 1986243 2478714 3052022 3972486 4578033 4634567 9156066 9269134 10682077 13903701 17119523 21364154 27807402 32046231 34239046 51358569 64092462 74774539 102717138 119836661 149549078 224323617 239673322 359509983 448647234 719019966 797429273 838856627 1594858546 1677713254 2392287819 2516569881 4784575638 5033139762 5582004911 11164009822 16746014733 33492029466 39074034377 78148068754 117222103131 144334698413 234444206262 288669396826 433004095239 866008190478 1010342888891 2020685777782 3031028666673 6062057333346 7072400222237 14144800444474 21217200666711 42434401333422