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1410359040 = 2834561223
BaseRepresentation
bin101010000010000…
…0101111100000000
310122021211122220000
41110010011330000
510342022442130
6351540520000
746643565636
oct12404057400
93567748800
101410359040
11664124692
123343b0000
1319626789c
14d544b356
1583c3e260
hex54105f00

1410359040 has 360 divisors, whose sum is σ = 5152253568. Its totient is φ = 368271360.

The previous prime is 1410359039. The next prime is 1410359047. The reversal of 1410359040 is 409530141.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×14103590402 = 3978225243419443200, which 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 = 1410358995 and 1410359013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410359047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324369 + ... + 6324591.

Almost surely, 21410359040 is an apocalyptic number.

1410359040 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 1410359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576126784).

1410359040 is an abundant number, since it is smaller than the sum of its proper divisors (3741894528).

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

1410359040 is an equidigital number, since it uses as much as digits as its factorization.

1410359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1410359040 is about 37554.7472365346. The cubic root of 1410359040 is about 1121.4413416032.

Adding to 1410359040 its reverse (409530141), we get a palindrome (1819889181).

The spelling of 1410359040 in words is "one billion, four hundred ten million, three hundred fifty-nine thousand, forty".