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1427134464 = 2113471229
BaseRepresentation
bin101010100010000…
…0101100000000000
310200110101221110000
41111010011200000
510410321300324
6353340240000
750236304610
oct12504054000
93613357400
101427134464
11672642278
12339b40000
1319988c382
14d7776a40
15854549c9
hex55105800

1427134464 has 240 divisors, whose sum is σ = 4875670800. Its totient is φ = 407420928.

The previous prime is 1427134463. The next prime is 1427134469. The reversal of 1427134464 is 4644317241.

1427134464 is a `hidden beast` number, since 142 + 71 + 3 + 446 + 4 = 666.

It is a super-3 number, since 3×14271344643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427134463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160602 + ... + 1161830.

It is an arithmetic number, because the mean of its divisors is an integer number (20315295).

Almost surely, 21427134464 is an apocalyptic number.

1427134464 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 1427134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437835400).

1427134464 is an abundant number, since it is smaller than the sum of its proper divisors (3448536336).

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

1427134464 is an equidigital number, since it uses as much as digits as its factorization.

1427134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1241 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 1427134464 is about 37777.4332637886. The cubic root of 1427134464 is about 1125.8701321554.

1427134464 divided by its product of digits (64512) gives a palindrome (22122).

The spelling of 1427134464 in words is "one billion, four hundred twenty-seven million, one hundred thirty-four thousand, four hundred sixty-four".