Search a number
-
+
3916341144 = 233318131209
BaseRepresentation
bin1110100101101110…
…1001111110011000
3101002221021202002000
43221123221332120
531010040404034
61444340441000
7166023231132
oct35133517630
911087252060
103916341144
11172a744081
129136a9160
134a54acb31
142921b8052
1517dc4c599
hexe96e9f98

3916341144 has 32 divisors (see below), whose sum is σ = 10878726000. Its totient is φ = 1305446976.

The previous prime is 3916341113. The next prime is 3916341193. The reversal of 3916341144 is 4411436193.

3916341144 is a `hidden beast` number, since 3 + 9 + 1 + 634 + 1 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3916341099 and 3916341108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9065389 + ... + 9065820.

Almost surely, 23916341144 is an apocalyptic number.

It is an amenable number.

3916341144 is an abundant number, since it is smaller than the sum of its proper divisors (6962384856).

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

3916341144 is a wasteful number, since it uses less digits than its factorization.

3916341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18131224 (or 18131214 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3916341144 is about 62580.6770816679. The cubic root of 3916341144 is about 1576.2563110060.

The spelling of 3916341144 in words is "three billion, nine hundred sixteen million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18131209 36262418 54393627 72524836 108787254 145049672 163180881 217574508 326361762 435149016 489542643 652723524 979085286 1305447048 1958170572 3916341144