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1411414004 = 22711133183137
BaseRepresentation
bin101010000100000…
…0111011111110100
310122100211021000202
41110020013133310
510342310222004
6352015300032
746655551430
oct12410073764
93570737022
101411414004
11664785260
1233481a618
13196546b20
14d56439c0
1583d9bb1e
hex542077f4

1411414004 has 192 divisors, whose sum is σ = 3489841152. Its totient is φ = 481766400.

The previous prime is 1411413961. The next prime is 1411414013. The reversal of 1411414004 is 4004141141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10302224 + ... + 10302360.

It is an arithmetic number, because the mean of its divisors is an integer number (18176256).

Almost surely, 21411414004 is an apocalyptic number.

1411414004 is a gapful number since it is divisible by the number (14) 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 1411414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744920576).

1411414004 is an abundant number, since it is smaller than the sum of its proper divisors (2078427148).

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

1411414004 is a wasteful number, since it uses less digits than its factorization.

1411414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1411414004 is about 37568.7902919431. The cubic root of 1411414004 is about 1121.7208887130.

Adding to 1411414004 its reverse (4004141141), we get a palindrome (5415555145).

The spelling of 1411414004 in words is "one billion, four hundred eleven million, four hundred fourteen thousand, four".