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3135143240460 = 22325711888725453
BaseRepresentation
bin101101100111110101000…
…110010110001100001100
3102002201100112010012121100
4231213311012112030030
5402331233132143320
610400133120103100
7442335525563430
oct55476506261414
912081315105540
103135143240460
11aa9674698560
12427741164a90
1319984813658a
14aba554ac9c0
1556843da5790
hex2d9f519630c

3135143240460 has 288 divisors, whose sum is σ = 11858341727232. Its totient is φ = 651359439360.

The previous prime is 3135143240419. The next prime is 3135143240461. The reversal of 3135143240460 is 640423415313.

3135143240460 is a `hidden beast` number, since 3 + 1 + 35 + 143 + 24 + 0 + 460 = 666.

3135143240460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3135143240461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123161094 + ... + 123186546.

It is an arithmetic number, because the mean of its divisors is an integer number (41174797664).

Almost surely, 23135143240460 is an apocalyptic number.

3135143240460 is a gapful number since it is divisible by the number (30) 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 3135143240460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929170863616).

3135143240460 is an abundant number, since it is smaller than the sum of its proper divisors (8723198486772).

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

3135143240460 is a wasteful number, since it uses less digits than its factorization.

3135143240460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34373 (or 34368 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 3135143240460 its reverse (640423415313), we get a palindrome (3775566655773).

The spelling of 3135143240460 in words is "three trillion, one hundred thirty-five billion, one hundred forty-three million, two hundred forty thousand, four hundred sixty".