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1371466743400 = 2352131077276781
BaseRepresentation
bin10011111101010001110…
…010011011111001101000
311212002222212122011210101
4103331101302123321220
5134432230441242100
62530013151555144
7201041136655015
oct23752162337150
94762885564711
101371466743400
114896aa24a296
121a197152bab4
139c43738b9a0
144a544cc870c
1525a1d1b186a
hex13f51c9be68

1371466743400 has 192 divisors, whose sum is σ = 3471314071680. Its totient is φ = 500891212800.

The previous prime is 1371466743391. The next prime is 1371466743463. The reversal of 1371466743400 is 43476641731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202248010 + ... + 202254790.

It is an arithmetic number, because the mean of its divisors is an integer number (18079760790).

Almost surely, 21371466743400 is an apocalyptic number.

1371466743400 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 1371466743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735657035840).

1371466743400 is an abundant number, since it is smaller than the sum of its proper divisors (2099847328280).

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

1371466743400 is a wasteful number, since it uses less digits than its factorization.

1371466743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 1371466743400 in words is "one trillion, three hundred seventy-one billion, four hundred sixty-six million, seven hundred forty-three thousand, four hundred".