Search a number
-
+
314042617143240 = 23352990242131363
BaseRepresentation
bin100011101100111101011111…
…0101000111001111111001000
31112011221011212221112201201020
41013121322332220321333020
5312130233234442040430
63031525104152352440
7123101554544652516
oct10731727650717710
91464834787481636
10314042617143240
11910777a9337647
122b27b6910a5720
13106301266a428b
145779a5ac974b6
152648e80dadb10
hex11d9ebea39fc8

314042617143240 has 64 divisors (see below), whose sum is σ = 974615018731200. Its totient is φ = 80856949700352.

The previous prime is 314042617143223. The next prime is 314042617143263. The reversal of 314042617143240 is 42341716240413.

It is a junction number, because it is equal to n+sod(n) for n = 314042617143192 and 314042617143201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45121062202 + ... + 45121069161.

It is an arithmetic number, because the mean of its divisors is an integer number (15228359667675).

Almost surely, 2314042617143240 is an apocalyptic number.

314042617143240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314042617143240 is an abundant number, since it is smaller than the sum of its proper divisors (660572401587960).

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

314042617143240 is a wasteful number, since it uses less digits than its factorization.

314042617143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90242131406 (or 90242131402 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 314042617143240 in words is "three hundred fourteen trillion, forty-two billion, six hundred seventeen million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 90242131363 180484262726 270726394089 360968525452 451210656815 541452788178 721937050904 902421313630 1082905576356 1353631970445 1804842627260 2165811152712 2617021809527 2707263940890 3609685254520 5234043619054 5414527881780 7851065428581 10468087238108 10829055763560 13085109047635 15702130857162 20936174476216 26170218095270 31404261714324 39255327142905 52340436190540 62808523428648 78510654285810 104680872381080 157021308571620 314042617143240