Search a number
-
+
14174223504 = 2437265715877
BaseRepresentation
bin11010011001101100…
…10111110010010000
31100120211022011021220
431030312113302100
5213012100123004
610302254445040
71011151624530
oct151466276220
940524264256
1014174223504
116013a85a01
1228b6b03780
13144b73c6cc
149866a94c0
1557e599dd9
hex34cd97c90

14174223504 has 80 divisors (see below), whose sum is σ = 41866094208. Its totient is φ = 4047998976.

The previous prime is 14174223473. The next prime is 14174223517. The reversal of 14174223504 is 40532247141.

14174223504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141742235042 (a number of 21 digits) contains 22 as substring.

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, 884814 + ... + 900690.

Almost surely, 214174223504 is an apocalyptic number.

14174223504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14174223504 is an abundant number, since it is smaller than the sum of its proper divisors (27691870704).

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

14174223504 is a wasteful number, since it uses less digits than its factorization.

14174223504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18552 (or 18546 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 14174223504 in words is "fourteen billion, one hundred seventy-four million, two hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2657 5314 7971 10628 15877 15942 18599 21256 31754 31884 37198 42512 47631 55797 63508 63768 74396 95262 111139 111594 127016 127536 148792 190524 222278 223188 254032 297584 333417 381048 444556 446376 666834 762096 889112 892752 1333668 1778224 2667336 5334672 42185189 84370378 126555567 168740756 253111134 295296323 337481512 506222268 590592646 674963024 885888969 1012444536 1181185292 1771777938 2024889072 2362370584 3543555876 4724741168 7087111752 14174223504