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3431342413320 = 233542716695041
BaseRepresentation
bin110001111011101011111…
…100100001011000001000
3110011000220011010012200220
4301323223330201120020
5422204342124211240
611144200440230040
7502622602163313
oct61735374413010
913130804105626
103431342413320
1111032513790a8
1247502576b320
131bb76069b433
14bc11390597a
155e3cca335d0
hex31eebf21608

3431342413320 has 64 divisors (see below), whose sum is σ = 10296438992640. Its totient is φ = 914810265600.

The previous prime is 3431342413319. The next prime is 3431342413327. The reversal of 3431342413320 is 233142431343.

It is a happy number.

3431342413320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34313424133202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3431342413327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835001 + ... + 3860040.

It is an arithmetic number, because the mean of its divisors is an integer number (160881859260).

Almost surely, 23431342413320 is an apocalyptic number.

3431342413320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431342413320 is an abundant number, since it is smaller than the sum of its proper divisors (6865096579320).

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

3431342413320 is a wasteful number, since it uses less digits than its factorization.

3431342413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699326 (or 6699322 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 3431342413320 its reverse (233142431343), we get a palindrome (3664484844663).

The spelling of 3431342413320 in words is "three trillion, four hundred thirty-one billion, three hundred forty-two million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4271 8542 12813 17084 21355 25626 34168 42710 51252 64065 85420 102504 128130 170840 256260 512520 6695041 13390082 20085123 26780164 33475205 40170246 53560328 66950410 80340492 100425615 133900820 160680984 200851230 267801640 401702460 803404920 28594520111 57189040222 85783560333 114378080444 142972600555 171567120666 228756160888 285945201110 343134241332 428917801665 571890402220 686268482664 857835603330 1143780804440 1715671206660 3431342413320