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1342474506240 = 21235719414007
BaseRepresentation
bin10011100010010001101…
…101110101000000000000
311202100011100121221010220
4103202101231311000000
5133443341433144430
62504420235423040
7165663525011160
oct23422155650000
94670140557126
101342474506240
1147838195140a
1219821bbb4a80
1399796a2127a
1448d9464c5a0
1524dc2c9e110
hex13891b75000

1342474506240 has 832 divisors, whose sum is σ = 5294746275840. Its totient is φ = 283540193280.

The previous prime is 1342474506173. The next prime is 1342474506371. The reversal of 1342474506240 is 426054742431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1342474506192 and 1342474506201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335030317 + ... + 335034323.

Almost surely, 21342474506240 is an apocalyptic number.

1342474506240 is a gapful number since it is divisible by the number (10) 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 1342474506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647373137920).

1342474506240 is an abundant number, since it is smaller than the sum of its proper divisors (3952271769600).

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

1342474506240 is a wasteful number, since it uses less digits than its factorization.

1342474506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 1342474506240 in words is "one trillion, three hundred forty-two billion, four hundred seventy-four million, five hundred six thousand, two hundred forty".