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3431232304140 = 2235378837174901
BaseRepresentation
bin110001111011100101011…
…000011111010000001100
3110011000121110221002022010
4301323211120133100030
5422204130432213030
611144141504221220
7502620064235304
oct61734530372014
913130543832263
103431232304140
1111031a5202483
12474bb490a810
131bb743928484
14bc103042604
155e3c30336b0
hex31ee561f40c

3431232304140 has 96 divisors (see below), whose sum is σ = 9868284264384. Its totient is φ = 890159846400.

The previous prime is 3431232304099. The next prime is 3431232304141. The reversal of 3431232304140 is 414032321343.

It is a happy number.

3431232304140 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 2×34312323041402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3431232304098 and 3431232304107.

It is not an unprimeable number, because it can be changed into a prime (3431232304141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19530690 + ... + 19705590.

It is an arithmetic number, because the mean of its divisors is an integer number (102794627754).

Almost surely, 23431232304140 is an apocalyptic number.

3431232304140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431232304140 is an abundant number, since it is smaller than the sum of its proper divisors (6437051960244).

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

3431232304140 is a wasteful number, since it uses less digits than its factorization.

3431232304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183787 (or 183785 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3431232304140 its reverse (414032321343), we get a palindrome (3845264625483).

The spelling of 3431232304140 in words is "three trillion, four hundred thirty-one billion, two hundred thirty-two million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 8837 17674 26511 35348 44185 53022 88370 106044 132555 174901 176740 265110 326969 349802 524703 530220 653938 699604 874505 980907 1049406 1307876 1634845 1749010 1961814 2098812 2623515 3269690 3498020 3923628 4904535 5247030 6471337 6539380 9809070 10494060 12942674 19414011 19618140 25885348 32356685 38828022 64713370 77656044 97070055 129426740 194140110 388280220 1545600137 3091200274 4636800411 6182400548 7728000685 9273600822 15456001370 18547201644 23184002055 30912002740 46368004110 57187205069 92736008220 114374410138 171561615207 228748820276 285936025345 343123230414 571872050690 686246460828 857808076035 1143744101380 1715616152070 3431232304140