Search a number
-
+
14067863888 = 2413237183499
BaseRepresentation
bin11010001101000001…
…01001000101010000
31100022102011112022212
431012200221011100
5212302333121023
610243535051252
71005420604301
oct150640510520
940272145285
1014067863888
115a69a403a1
122887370b28
1314326b0320
149765007a8
1557508ae78
hex346829150

14067863888 has 160 divisors (see below), whose sum is σ = 31497984000. Its totient is φ = 6037194240.

The previous prime is 14067863861. The next prime is 14067863893. The reversal of 14067863888 is 88836876041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28191863 + ... + 28192361.

It is an arithmetic number, because the mean of its divisors is an integer number (196862400).

Almost surely, 214067863888 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 14067863888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992000).

14067863888 is an abundant number, since it is smaller than the sum of its proper divisors (17430120112).

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

14067863888 is a wasteful number, since it uses less digits than its factorization.

14067863888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 14067863888 in words is "fourteen billion, sixty-seven million, eight hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 71 83 92 104 142 166 184 208 284 299 332 368 499 568 598 664 923 998 1079 1136 1196 1328 1633 1846 1909 1996 2158 2392 3266 3692 3818 3992 4316 4784 5893 6487 6532 7384 7636 7984 8632 11477 11786 12974 13064 14768 15272 17264 21229 22954 23572 24817 25948 26128 30544 35429 41417 42458 45908 47144 49634 51896 70858 76609 82834 84916 91816 94288 99268 103792 135539 141716 149201 153218 165668 169832 183632 198536 271078 283432 298402 306436 331336 339664 397072 460577 538421 542156 566864 596804 612872 662672 814867 921154 952591 1076842 1084312 1193608 1225744 1629734 1762007 1842308 1905182 2153684 2168624 2387216 2940607 3259468 3524014 3684616 3810364 4307368 5881214 6518936 7048028 7369232 7620728 8614736 10593271 11762428 12383683 13037872 14096056 15241456 21186542 23524856 24767366 28192112 38227891 42373084 47049712 49534732 67633961 76455782 84746168 99069464 135267922 152911564 169492336 198138928 270535844 305823128 541071688 611646256 879241493 1082143376 1758482986 3516965972 7033931944 14067863888