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3143223195840 = 263557213233189
BaseRepresentation
bin101101101111010110101…
…100111011100011000000
3102010111012121222110200000
4231233112230323203000
5402444310114231330
610403550553400000
7443043000222600
oct55572654734300
912114177873600
103143223195840
111002040606632
12429217109000
1319a5350c2670
14ac1c062ac00
1556b683e6560
hex2dbd6b3b8c0

3143223195840 has 4032 divisors, whose sum is σ = 15298997575680. Its totient is φ = 606990827520.

The previous prime is 3143223195829. The next prime is 3143223195869. The reversal of 3143223195840 is 485913223413.

It is a happy number.

3143223195840 is a `hidden beast` number, since 3 + 1 + 4 + 32 + 2 + 31 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 35317114516 + ... + 35317114604.

It is an arithmetic number, because the mean of its divisors is an integer number (3794394240).

Almost surely, 23143223195840 is an apocalyptic number.

3143223195840 is a gapful number since it is divisible by the number (30) 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 3143223195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649498787840).

3143223195840 is an abundant number, since it is smaller than the sum of its proper divisors (12155774379840).

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

3143223195840 is a wasteful number, since it uses less digits than its factorization.

3143223195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3143223195840 in words is "three trillion, one hundred forty-three billion, two hundred twenty-three million, one hundred ninety-five thousand, eight hundred forty".