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1411439040 = 263351114851
BaseRepresentation
bin101010000100000…
…1101100111000000
310122100212112101000
41110020031213000
510342312022130
6352020012000
746656014424
oct12410154700
93570775330
101411439040
116647a2050
12334831000
1319655533b
14d564cb84
1583da4260
hex5420d9c0

1411439040 has 224 divisors, whose sum is σ = 5432267520. Its totient is φ = 342144000.

The previous prime is 1411439039. The next prime is 1411439041. The reversal of 1411439040 is 409341141.

It is an interprime number because it is at equal distance from previous prime (1411439039) and next prime (1411439041).

It is a super-2 number, since 2×14114390402 = 3984320327272243200, 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 = 1411438995 and 1411439013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411439041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87615 + ... + 102465.

Almost surely, 21411439040 is an apocalyptic number.

1411439040 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 1411439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716133760).

1411439040 is an abundant number, since it is smaller than the sum of its proper divisors (4020828480).

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

1411439040 is a wasteful number, since it uses less digits than its factorization.

1411439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14888 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1411439040 is about 37569.1234925703. The cubic root of 1411439040 is about 1121.7275211252.

The spelling of 1411439040 in words is "one billion, four hundred eleven million, four hundred thirty-nine thousand, forty".