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14534123233040 = 245502336168931
BaseRepresentation
bin1101001101111111110101…
…0000001001111100010000
31220110110010001000111202222
43103133331100021330100
53401111341021424130
650524514541400212
73030025060050365
oct323377520117420
956413101014688
1014534123233040
1146a3983730124
121768988569068
1381573c774b78
1438365356c46c
151a30ec623ce5
hexd37fd409f10

14534123233040 has 40 divisors (see below), whose sum is σ = 33798564872448. Its totient is φ = 5812491726720.

The previous prime is 14534123233027. The next prime is 14534123233043. The reversal of 14534123233040 is 4033232143541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×145341232330402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14534123233043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17682626 + ... + 18486305.

Almost surely, 214534123233040 is an apocalyptic number.

14534123233040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14534123233040 is an abundant number, since it is smaller than the sum of its proper divisors (19264441639408).

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

14534123233040 is a wasteful number, since it uses less digits than its factorization.

14534123233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36173967 (or 36173961 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 14534123233040 its reverse (4033232143541), we get a palindrome (18567355376581).

The spelling of 14534123233040 in words is "fourteen trillion, five hundred thirty-four billion, one hundred twenty-three million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5023 10046 20092 25115 40184 50230 80368 100460 200920 401840 36168931 72337862 144675724 180844655 289351448 361689310 578702896 723378620 1446757240 2893514480 181676540413 363353080826 726706161652 908382702065 1453412323304 1816765404130 2906824646608 3633530808260 7267061616520 14534123233040