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6440049144 = 2332199449473
BaseRepresentation
bin1011111111101101…
…10101100111111000
3121121211002101121200
411333312311213320
5101142123033034
62543012334200
7315406341324
oct57766654770
917554071550
106440049144
112805270271
1212b8914360
137b82c0389
1445143a984
1527a5aca99
hex17fdb59f8

6440049144 has 48 divisors (see below), whose sum is σ = 17529486000. Its totient is φ = 2135890944.

The previous prime is 6440049139. The next prime is 6440049193. The reversal of 6440049144 is 4419400446.

6440049144 is a `hidden beast` number, since 644 + 0 + 0 + 4 + 9 + 1 + 4 + 4 = 666.

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 = 6440049099 and 6440049108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210409 + ... + 239064.

It is an arithmetic number, because the mean of its divisors is an integer number (365197625).

Almost surely, 26440049144 is an apocalyptic number.

It is an amenable number.

6440049144 is an abundant number, since it is smaller than the sum of its proper divisors (11089436856).

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

6440049144 is a wasteful number, since it uses less digits than its factorization.

6440049144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449684 (or 449677 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6440049144 is about 80249.9167850036. The cubic root of 6440049144 is about 1860.5002261930.

The spelling of 6440049144 in words is "six billion, four hundred forty million, forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 449473 898946 1348419 1797892 2696838 3595784 4045257 5393676 8090514 10787352 16181028 32362056 89445127 178890254 268335381 357780508 536670762 715561016 805006143 1073341524 1610012286 2146683048 3220024572 6440049144