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14434131423201 = 374339001176357
BaseRepresentation
bin1101001000001011010101…
…0001101010111111100001
31220002220000102210021022120
43102002311101222333201
53342442100121020301
650410540510054453
73016555142513040
oct322026521527741
956086012707276
1014434131423201
114665531989456
1217515214aa429
13809195872299
1437c889640557
151a06e8ea5e36
hexd20b546afe1

14434131423201 has 32 divisors (see below), whose sum is σ = 22048237655808. Its totient is φ = 8228065536000.

The previous prime is 14434131423197. The next prime is 14434131423223. The reversal of 14434131423201 is 10232413143441.

It is a happy number.

14434131423201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14434131423201 - 22 = 14434131423197 is a prime.

It is a super-2 number, since 2×144341314232012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14434131423251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81757915 + ... + 81934271.

It is an arithmetic number, because the mean of its divisors is an integer number (689007426744).

Almost surely, 214434131423201 is an apocalyptic number.

It is an amenable number.

14434131423201 is a deficient number, since it is larger than the sum of its proper divisors (7614106232607).

14434131423201 is a wasteful number, since it uses less digits than its factorization.

14434131423201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185801.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 14434131423201 its reverse (10232413143441), we get a palindrome (24666544566642).

The spelling of 14434131423201 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirty-one million, four hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 21 433 1299 3031 9001 9093 27003 63007 176357 189021 529071 1234499 3703497 3897433 11692299 27282031 76362581 81846093 229087743 534538067 1587389357 1603614201 4762168071 11111725499 33335176497 687339591581 2062018774743 4811377141067 14434131423201