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1631321303040 = 2113351141331
BaseRepresentation
bin10111101111010010010…
…100111010100000000000
312202221201120211112101000
4113233102110322200000
5203211421223144130
63245230233012000
7225600443200242
oct27572224724000
95687646745330
101631321303040
11579926390000
122241b2254000
13baaa9c74650
1458d56400092
152c67b20a260
hex17bd253a800

1631321303040 has 1920 divisors, whose sum is σ = 7090941312000. Its totient is φ = 353275084800.

The previous prime is 1631321302991. The next prime is 1631321303057. The reversal of 1631321303040 is 403031231361.

1631321303040 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 321 + 30 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×16313213030402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1631321302995 and 1631321303013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52623267825 + ... + 52623267855.

It is an arithmetic number, because the mean of its divisors is an integer number (3693198600).

Almost surely, 21631321303040 is an apocalyptic number.

1631321303040 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 1631321303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545470656000).

1631321303040 is an abundant number, since it is smaller than the sum of its proper divisors (5459620008960).

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

1631321303040 is an equidigital number, since it uses as much as digits as its factorization.

1631321303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 1631321303040 in words is "one trillion, six hundred thirty-one billion, three hundred twenty-one million, three hundred three thousand, forty".