Search a number
1410400000 = 28554143
BaseRepresentation
bin101010000010000…
…1111111100000000
310122021220202002001
41110010033330000
510342030300000
6351541433344
746644126232
oct12404177400
93567822061
101410400000
11664152439
1233440b854
13196280419
14d545c252
1583c4b46a
hex5410ff00

1410400000 has 216 divisors, whose sum is σ = 3688545168. Its totient is φ = 537600000.

The previous prime is 1410399989. The next prime is 1410400021. The reversal of 1410400000 is 40141.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1410400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32799979 + ... + 32800021.

It is an arithmetic number, because the mean of its divisors is an integer number (17076598).

Almost surely, 21410400000 is an apocalyptic number.

1410400000 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 1410400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844272584).

1410400000 is an abundant number, since it is smaller than the sum of its proper divisors (2278145168).

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

1410400000 is an frugal number, since it uses more digits than its factorization.

1410400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1410400000 is about 37555.2925697564. The cubic root of 1410400000 is about 1121.4521978914.

Adding to 1410400000 its reverse (40141), we get a palindrome (1410440141).

The spelling of 1410400000 in words is "one billion, four hundred ten million, four hundred thousand".