Search a number
-
+
3123142320 = 243571183283
BaseRepresentation
bin1011101000100111…
…0101111010110000
322001122202001211210
42322021311322300
522344011023240
61233523440120
7140252162124
oct27211657260
98048661753
103123142320
111362a29061
12731b26040
133aa06b80c
14218add584
151342ba780
hexba275eb0

3123142320 has 80 divisors (see below), whose sum is σ = 9818157312. Its totient is φ = 821103360.

The previous prime is 3123142307. The next prime is 3123142387. The reversal of 3123142320 is 232413213.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74602 + ... + 108681.

Almost surely, 23123142320 is an apocalyptic number.

3123142320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3123142320 is an abundant number, since it is smaller than the sum of its proper divisors (6695014992).

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

3123142320 is a wasteful number, since it uses less digits than its factorization.

3123142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183370 (or 183364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3123142320 is about 55885.0813724021. The cubic root of 3123142320 is about 1461.7191109214.

Adding to 3123142320 its reverse (232413213), we get a palindrome (3355555533).

The spelling of 3123142320 in words is "three billion, one hundred twenty-three million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 183283 366566 549849 733132 916415 1099698 1466264 1832830 2199396 2749245 2932528 3665660 4398792 5498490 7331320 8797584 10996980 13013093 14662640 21993960 26026186 39039279 43987920 52052372 65065465 78078558 104104744 130130930 156157116 195196395 208209488 260261860 312314232 390392790 520523720 624628464 780785580 1041047440 1561571160 3123142320