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6031494144 = 210331397173
BaseRepresentation
bin1011001111000000…
…10100110000000000
3120120100022122112000
411213200110300000
544323030303034
62434255504000
7302315566014
oct54740246000
916510278460
106031494144
112615691905
121203b28000
13751774b60
1441308a544
152547a9599
hex167814c00

6031494144 has 352 divisors, whose sum is σ = 19547048640. Its totient is φ = 1826095104.

The previous prime is 6031494143. The next prime is 6031494151. The reversal of 6031494144 is 4414941306.

It is a happy number.

6031494144 is a `hidden beast` number, since 603 + 1 + 4 + 9 + 4 + 1 + 44 = 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 junction number, because it is equal to n+sod(n) for n = 6031494099 and 6031494108.

It is not an unprimeable number, because it can be changed into a prime (6031494143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34864042 + ... + 34864214.

Almost surely, 26031494144 is an apocalyptic number.

6031494144 is a gapful number since it is divisible by the number (64) 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 6031494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773524320).

6031494144 is an abundant number, since it is smaller than the sum of its proper divisors (13515554496).

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

6031494144 is a wasteful number, since it uses less digits than its factorization.

6031494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6031494144 is about 77662.6946738265. The cubic root of 6031494144 is about 1820.2944160022.

The spelling of 6031494144 in words is "six billion, thirty-one million, four hundred ninety-four thousand, one hundred forty-four".