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3413121214344 = 233733540755021
BaseRepresentation
bin110001101010101101111…
…000001010011110001000
3110002021212021201101201120
4301222231320022132020
5421410033012324334
611131544412515240
7501406216432242
oct61525570123610
913067767641646
103413121214344
1110a6550a44676
1247159b47bb20
131b9b186a07aa
14bb2a5979092
155dbb3034949
hex31aade0a788

3413121214344 has 64 divisors (see below), whose sum is σ = 8650092253440. Its totient is φ = 1122069957120.

The previous prime is 3413121214343. The next prime is 3413121214381. The reversal of 3413121214344 is 4434121213143.

It is a happy number.

It is a super-2 number, since 2×34131212143442 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3413121214343) 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, 62005554 + ... + 62060574.

It is an arithmetic number, because the mean of its divisors is an integer number (135157691460).

Almost surely, 23413121214344 is an apocalyptic number.

It is an amenable number.

3413121214344 is an abundant number, since it is smaller than the sum of its proper divisors (5236971039096).

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

3413121214344 is a wasteful number, since it uses less digits than its factorization.

3413121214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90510 (or 90506 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 3413121214344 its reverse (4434121213143), we get a palindrome (7847242427487).

The spelling of 3413121214344 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 35407 55021 70814 106221 110042 141628 165063 212442 220084 283256 330126 424884 440168 660252 849768 1320504 2584711 4016533 5169422 7754133 8033066 10338844 12049599 15508266 16066132 20677688 24099198 31016532 32132264 48198396 62033064 96396792 1948128547 3896257094 5844385641 7792514188 11688771282 15585028376 23377542564 46755085128 142213383931 284426767862 426640151793 568853535724 853280303586 1137707071448 1706560607172 3413121214344