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3141431031232 = 261319333159659
BaseRepresentation
bin101101101101101011111…
…000010111010111000000
3102010022120201201002000001
4231231223320113113000
5402432122320444412
610403053053205344
7442650406121104
oct55555370272700
912108521632001
103141431031232
111001300a1385a
124289b6a90854
1319a30aa16b30
14ac0905d3904
1556ab0dd9957
hex2db6be175c0

3141431031232 has 112 divisors (see below), whose sum is σ = 7068869987200. Its totient is φ = 1373145799680.

The previous prime is 3141431031223. The next prime is 3141431031301. The reversal of 3141431031232 is 2321301341413.

It is a self number, because there is not a number n which added to its sum of digits gives 3141431031232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52626619 + ... + 52686277.

It is an arithmetic number, because the mean of its divisors is an integer number (63114910600).

Almost surely, 23141431031232 is an apocalyptic number.

3141431031232 is a gapful number since it is divisible by the number (32) 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 3141431031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534434993600).

3141431031232 is an abundant number, since it is smaller than the sum of its proper divisors (3927438955968).

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

3141431031232 is a wasteful number, since it uses less digits than its factorization.

3141431031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63034 (or 63024 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 3141431031232 its reverse (2321301341413), we get a palindrome (5462732372645).

The spelling of 3141431031232 in words is "three trillion, one hundred forty-one billion, four hundred thirty-one million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3331 3952 6662 7904 13324 15808 26648 43303 53296 59659 63289 86606 106592 119318 126578 173212 213184 238636 253156 346424 477272 506312 692848 775567 822757 954544 1012624 1133521 1385696 1551134 1645514 1909088 2025248 2267042 2771392 3102268 3291028 3818176 4050496 4534084 6204536 6582056 9068168 12409072 13164112 14735773 18136336 24818144 26328224 29471546 36272672 49636288 52656448 58943092 72545344 117886184 198724129 235772368 397448258 471544736 794896516 943089472 1589793032 2583413677 3179586064 3775758451 5166827354 6359172128 7551516902 10333654708 12718344256 15103033804 20667309416 30206067608 41334618832 49084859863 60412135216 82669237664 98169719726 120824270432 165338475328 196339439452 241648540864 392678878904 785357757808 1570715515616 3141431031232