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1401946257660 = 22351319472119539
BaseRepresentation
bin10100011001101010100…
…000100011100011111100
311222000200001012221001220
4110121222200203203330
5140432141220221120
62552013433433340
7203200351366434
oct24315240434374
94860601187056
101401946257660
114a06201284a3
121a7858b6b850
13a2283bb5620
144bbd6cb52c4
1526703e58b40
hex1466a8238fc

1401946257660 has 384 divisors, whose sum is σ = 4566598041600. Its totient is φ = 318425748480.

The previous prime is 1401946257659. The next prime is 1401946257713. The reversal of 1401946257660 is 667526491041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146965171 + ... + 146974709.

It is an arithmetic number, because the mean of its divisors is an integer number (11892182400).

Almost surely, 21401946257660 is an apocalyptic number.

1401946257660 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 1401946257660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283299020800).

1401946257660 is an abundant number, since it is smaller than the sum of its proper divisors (3164651783940).

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

1401946257660 is a wasteful number, since it uses less digits than its factorization.

1401946257660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1401946257660 in words is "one trillion, four hundred one billion, nine hundred forty-six million, two hundred fifty-seven thousand, six hundred sixty".