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1348001414680 = 235231465218929
BaseRepresentation
bin10011100111011011001…
…001010011111000011000
311202212102112110222012111
4103213123021103320120
5134041201330232210
62511132512322104
7166250505653644
oct23473311237030
94685375428174
101348001414680
1147a758724538
12199302b43334
139a167a969ab
144935a6abc24
15250e80d688a
hex139db253e18

1348001414680 has 32 divisors (see below), whose sum is σ = 3164872888800. Its totient is φ = 515757062656.

The previous prime is 1348001414561. The next prime is 1348001414689. The reversal of 1348001414680 is 864141008431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348001414689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732608545 + ... + 732610384.

It is an arithmetic number, because the mean of its divisors is an integer number (98902277775).

Almost surely, 21348001414680 is an apocalyptic number.

1348001414680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348001414680 is an abundant number, since it is smaller than the sum of its proper divisors (1816871474120).

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

1348001414680 is a wasteful number, since it uses less digits than its factorization.

1348001414680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465218963 (or 1465218959 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 1348001414680 in words is "one trillion, three hundred forty-eight billion, one million, four hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1465218929 2930437858 5860875716 7326094645 11721751432 14652189290 29304378580 33700035367 58608757160 67400070734 134800141468 168500176835 269600282936 337000353670 674000707340 1348001414680