Search a number
-
+
201144737600437 = 1743341298062463
BaseRepresentation
bin101101101111000010101000…
…101000100001001110110101
3222101012020201121101101211111
4231233002220220201032311
5202331023410311203222
61551444341121035021
760240141052343161
oct5557025050411665
9871166647341744
10201144737600437
11591000055a7744
121a687245785a71
138830b377b3a77
143795658973ca1
15183c3823ea777
hexb6f0a8a213b5

201144737600437 has 16 divisors (see below), whose sum is σ = 217936141885440. Its totient is φ = 184904632507392.

The previous prime is 201144737600423. The next prime is 201144737600453. The reversal of 201144737600437 is 734006737441102.

It is a cyclic number.

It is not a de Polignac number, because 201144737600437 - 27 = 201144737600309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201144737600237) 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 15 ways as a sum of consecutive naturals, for example, 20917068 + ... + 28979530.

It is an arithmetic number, because the mean of its divisors is an integer number (13621008867840).

Almost surely, 2201144737600437 is an apocalyptic number.

It is an amenable number.

201144737600437 is a deficient number, since it is larger than the sum of its proper divisors (16791404285003).

201144737600437 is a wasteful number, since it uses less digits than its factorization.

201144737600437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096652.

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 201144737600437 in words is "two hundred one trillion, one hundred forty-four billion, seven hundred thirty-seven million, six hundred thousand, four hundred thirty-seven".

Divisors: 1 17 43 731 34129 580193 1467547 8062463 24948299 137061871 346685909 5893660453 275163799727 4677784595359 11832043388261 201144737600437