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1374440804352 = 2123471126773
BaseRepresentation
bin10100000000000011000…
…011100101000000000000
311212101200010212010110000
4110000003003211000000
5140004323321214402
62531224232240000
7201204632034450
oct24000303450000
94771603763400
101374440804352
1148a996003300
121a2461540000
139c7bc590775
144a747c9bd60
1525b4432ec1c
hex140030e5000

1374440804352 has 1560 divisors, whose sum is σ = 5306455867328. Its totient is φ = 346851901440.

The previous prime is 1374440804311. The next prime is 1374440804353. The reversal of 1374440804352 is 2534080444731.

1374440804352 is a `hidden beast` number, since 13 + 74 + 440 + 80 + 4 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1374440804298 and 1374440804307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374440804353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18827956188 + ... + 18827956260.

Almost surely, 21374440804352 is an apocalyptic number.

1374440804352 is a gapful number since it is divisible by the number (12) 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 1374440804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653227933664).

1374440804352 is an abundant number, since it is smaller than the sum of its proper divisors (3932015062976).

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

1374440804352 is an equidigital number, since it uses as much as digits as its factorization.

1374440804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 1374440804352 in words is "one trillion, three hundred seventy-four billion, four hundred forty million, eight hundred four thousand, three hundred fifty-two".