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8412157440 = 293252331567
BaseRepresentation
bin1111101010110011…
…10101011000000000
3210201020221212121200
413311121311120000
5114212003014230
63510421421200
7415314105231
oct76531653000
923636855550
108412157440
113627497435
12176926a800
13a40a5026b
1459b315088
153437b1160
hex1f5675600

8412157440 has 240 divisors, whose sum is σ = 29277376128. Its totient is φ = 2232188928.

The previous prime is 8412157421. The next prime is 8412157441. The reversal of 8412157440 is 447512148.

It is a happy number.

8412157440 is a `hidden beast` number, since 8 + 41 + 2 + 1 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 8412157395 and 8412157404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412157441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367537 + ... + 5369103.

Almost surely, 28412157440 is an apocalyptic number.

8412157440 is a gapful number since it is divisible by the number (80) 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 8412157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638688064).

8412157440 is an abundant number, since it is smaller than the sum of its proper divisors (20865218688).

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

8412157440 is a wasteful number, since it uses less digits than its factorization.

8412157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8412157440 is about 91717.8141911374. The cubic root of 8412157440 is about 2033.7729375291.

Adding to 8412157440 its reverse (447512148), we get a palindrome (8859669588).

The spelling of 8412157440 in words is "eight billion, four hundred twelve million, one hundred fifty-seven thousand, four hundred forty".