Search a number
-
+
14534149767424 = 2872340392
BaseRepresentation
bin1101001101111111111011…
…0101011000000100000000
31220110110011212221121002221
43103133332311120010000
53401111414320024144
650524521330220424
73030025531433200
oct323377665300400
956413155847087
1014534149767424
1146a3997703871
121768995424714
138157451055a1
14383656cb8400
151a30eeb15d84
hexd37fed58100

14534149767424 has 81 divisors (see below), whose sum is σ = 33749092589247. Its totient is φ = 6228738335232.

The previous prime is 14534149767413. The next prime is 14534149767427. The reversal of 14534149767424 is 42476794143541.

The square root of 14534149767424 is 3812368.

It is a perfect power (a square), and thus also a powerful number.

14534149767424 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 2×145341497674242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14534149767427) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 426968197 + ... + 427002235.

Almost surely, 214534149767424 is an apocalyptic number.

14534149767424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14534149767424 is the 3812368-th square number.

It is an amenable number.

14534149767424 is an abundant number, since it is smaller than the sum of its proper divisors (19214942821823).

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

14534149767424 is an frugal number, since it uses more digits than its factorization.

14534149767424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68108 (or 34048 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 61.

The spelling of 14534149767424 in words is "fourteen trillion, five hundred thirty-four billion, one hundred forty-nine million, seven hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 34039 68078 136156 238273 272312 476546 544624 953092 1089248 1667911 1906184 2178496 3335822 3812368 4356992 6671644 7624736 8713984 13343288 15249472 26686576 30498944 53373152 60997888 106746304 213492608 426985216 1158653521 2317307042 4634614084 8110574647 9269228168 16221149294 18538456336 32442298588 37076912672 56774022529 64884597176 74153825344 113548045058 129769194352 148307650688 227096090116 259538388704 296615301376 454192180232 519076777408 908384360464 1038153554816 1816768720928 2076307109632 3633537441856 7267074883712 14534149767424