Search a number
-
+
32402444104041 = 31123110938495011
BaseRepresentation
bin1110101111000010010000…
…01010111011000101101001
311020201122101001010022212220
413113201020022323011221
513221340201142312131
6152525251034024253
76552666525342114
oct727411012730551
9136648331108786
1032402444104041
11a362887a6a830
123773988b78089
1315106ca7a015b
1480040285d57b
153b2cde038e96
hex1d78482bb169

32402444104041 has 32 divisors (see below), whose sum is σ = 49224341744640. Its totient is φ = 18767087275200.

The previous prime is 32402444103989. The next prime is 32402444104061. The reversal of 32402444104041 is 14040144420423.

It is a de Polignac number, because none of the positive numbers 2k-32402444104041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32402444103993 and 32402444104011.

It is not an unprimeable number, because it can be changed into a prime (32402444104061) 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, 18405775 + ... + 20089236.

It is an arithmetic number, because the mean of its divisors is an integer number (1538260679520).

Almost surely, 232402444104041 is an apocalyptic number.

It is an amenable number.

32402444104041 is a deficient number, since it is larger than the sum of its proper divisors (16821897640599).

32402444104041 is a wasteful number, since it uses less digits than its factorization.

32402444104041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38496157.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 32402444104041 its reverse (14040144420423), we get a palindrome (46442588524464).

The spelling of 32402444104041 in words is "thirty-two trillion, four hundred two billion, four hundred forty-four million, one hundred four thousand, forty-one".

Divisors: 1 3 11 23 33 69 253 759 1109 3327 12199 25507 36597 76521 280577 841731 38495011 115485033 423445121 885385253 1270335363 2656155759 9739237783 29217713349 42690967199 128072901597 469600639189 981892245577 1408801917567 2945676736731 10800814701347 32402444104041