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3366132144 = 243413894397
BaseRepresentation
bin1100100010100011…
…0001100110110000
322200120222020012220
43020220301212300
523343212212034
61314003521040
7146262436224
oct31050614660
98616866186
103366132144
1114781039a1
1279b389180
134184c848b
1423d0b2784
1514a7b7749
hexc8a319b0

3366132144 has 80 divisors (see below), whose sum is σ = 8932865760. Its totient is φ = 1091614720.

The previous prime is 3366132139. The next prime is 3366132157. The reversal of 3366132144 is 4412316633.

It is a super-2 number, since 2×33661321442 = 22661691221740073472, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763354 + ... + 767750.

It is an arithmetic number, because the mean of its divisors is an integer number (111660822).

Almost surely, 23366132144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466432880).

3366132144 is an abundant number, since it is smaller than the sum of its proper divisors (5566733616).

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

3366132144 is a wasteful number, since it uses less digits than its factorization.

3366132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4832 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3366132144 is about 58018.3776401926. The cubic root of 3366132144 is about 1498.6850912357.

Adding to 3366132144 its reverse (4412316633), we get a palindrome (7778448777).

The spelling of 3366132144 in words is "three billion, three hundred sixty-six million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 389 492 656 778 984 1167 1556 1968 2334 3112 4397 4668 6224 8794 9336 13191 15949 17588 18672 26382 31898 35176 47847 52764 63796 70352 95694 105528 127592 180277 191388 211056 255184 360554 382776 540831 721108 765552 1081662 1442216 1710433 2163324 2884432 3420866 4326648 5131299 6841732 8653296 10262598 13683464 20525196 27366928 41050392 70127753 82100784 140255506 210383259 280511012 420766518 561022024 841533036 1122044048 1683066072 3366132144