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5141361456 = 243273119463
BaseRepresentation
bin1001100100111001…
…01111001100110000
3111021022101020000200
410302130233030300
541012142031311
62210101115200
7241256565000
oct46234571460
914238336020
105141361456
1121a9189a60
12bb59b8b00
1363c22481a
1436ab7c000
1520157b556
hex13272f330

5141361456 has 240 divisors, whose sum is σ = 18307161600. Its totient is φ = 1335277440.

The previous prime is 5141361451. The next prime is 5141361479. The reversal of 5141361456 is 6541631415.

5141361456 is a `hidden beast` number, since 5 + 141 + 3 + 61 + 456 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5141361456.

It is not an unprimeable number, because it can be changed into a prime (5141361451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538581 + ... + 548043.

It is an arithmetic number, because the mean of its divisors is an integer number (76279840).

Almost surely, 25141361456 is an apocalyptic number.

5141361456 is a gapful number since it is divisible by the number (56) 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 5141361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153580800).

5141361456 is an abundant number, since it is smaller than the sum of its proper divisors (13165800144).

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

5141361456 is a wasteful number, since it uses less digits than its factorization.

5141361456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509 (or 9486 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5141361456 is about 71703.2876233719. The cubic root of 5141361456 is about 1725.9413981850.

The spelling of 5141361456 in words is "five billion, one hundred forty-one million, three hundred sixty-one thousand, four hundred fifty-six".