Search a number
-
+
14394287808816 = 2431074464762773
BaseRepresentation
bin1101000101110110111001…
…1010010110000100110000
31212222002011122222221112220
43101131232122112010300
53341314000134340231
650340351115121040
73013644604416006
oct321355632260460
955862148887486
1014394287808816
11464a646234223
121745861a43180
138054b60162b6
1437a989b40a76
1519e6660b0896
hexd176e696130

14394287808816 has 80 divisors (see below), whose sum is σ = 37534207728384. Its totient is φ = 4753071735552.

The previous prime is 14394287808793. The next prime is 14394287808881. The reversal of 14394287808816 is 61880878249341.

It is a happy number.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229275606 + ... + 229338378.

Almost surely, 214394287808816 is an apocalyptic number.

14394287808816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14394287808816 is an abundant number, since it is smaller than the sum of its proper divisors (23139919919568).

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

14394287808816 is a wasteful number, since it uses less digits than its factorization.

14394287808816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107538 (or 107532 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 14394287808816 in words is "fourteen trillion, three hundred ninety-four billion, two hundred eighty-seven million, eight hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 44647 62773 89294 125546 133941 178588 188319 251092 267882 357176 376638 502184 535764 714352 753276 1004368 1071528 1506552 2143056 3013104 4777229 6716711 9554458 13433422 14331687 19108916 20150133 26866844 28663374 38217832 40300266 53733688 57326748 76435664 80600532 107467376 114653496 161201064 229306992 322402128 2802626131 5605252262 8407878393 11210504524 16815756786 22421009048 33631513572 44842018096 67263027144 134526054288 299880996017 599761992034 899642988051 1199523984068 1799285976102 2399047968136 3598571952204 4798095936272 7197143904408 14394287808816