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10434544543401 = 311631501106687
BaseRepresentation
bin1001011111010111101101…
…0100100010011010101001
31100221112101100110020202120
42113311323110202122221
52331424421400342101
634105321422421453
72124604512124656
oct227657324423251
940845340406676
1010434544543401
1133632a1404140
12120634ba31889
135a8c8652cc94
1428106b11cc2d
1513165e401b36
hex97d7b5226a9

10434544543401 has 16 divisors (see below), whose sum is σ = 15201572487168. Its totient is φ = 6313944243600.

The previous prime is 10434544543391. The next prime is 10434544543421.

10434544543401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10434544543401 - 221 = 10434542446249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10434544543421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250532521 + ... + 250574166.

It is an arithmetic number, because the mean of its divisors is an integer number (950098280448).

Almost surely, 210434544543401 is an apocalyptic number.

10434544543401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10434544543401 is a deficient number, since it is larger than the sum of its proper divisors (4767027943767).

10434544543401 is a wasteful number, since it uses less digits than its factorization.

10434544543401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501107332.

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 1043454 and 4543401, that added together give a palindrome (5586855).

The spelling of 10434544543401 in words is "ten trillion, four hundred thirty-four billion, five hundred forty-four million, five hundred forty-three thousand, four hundred one".

Divisors: 1 3 11 33 631 1893 6941 20823 501106687 1503320061 5512173557 16536520671 316198319497 948594958491 3478181514467 10434544543401