Search a number
-
+
4406646100131 = 32112139285110211
BaseRepresentation
bin100000000100000000010…
…0100110101000010100011
3120121021022202001221100200
41000020000210311002203
51034144302400201011
613212215115120243
7633240540554262
oct100100044650243
916537282057320
104406646100131
11144993692a400
125b2054a43083
1325c71131c6b2
141133d60585d9
15799610b3856
hex402009350a3

4406646100131 has 72 divisors (see below), whose sum is σ = 7049906485440. Its totient is φ = 2650291380000.

The previous prime is 4406646100127. The next prime is 4406646100141. The reversal of 4406646100131 is 1310016466044.

4406646100131 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 6 + 4 + 610 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 4406646100131 - 22 = 4406646100127 is a prime.

It is a super-2 number, since 2×44066461001312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4406646100141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431553616 + ... + 431563826.

Almost surely, 24406646100131 is an apocalyptic number.

4406646100131 is a deficient number, since it is larger than the sum of its proper divisors (2643260385309).

4406646100131 is a wasteful number, since it uses less digits than its factorization.

4406646100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4406646100131 in words is "four trillion, four hundred six billion, six hundred forty-six million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 139 363 417 1089 1251 1529 2851 4587 8553 10211 13761 16819 25659 30633 31361 50457 91899 94083 112321 151371 282249 336963 344971 396289 1010889 1034913 1188867 1235531 1419329 3104739 3566601 3706593 4257987 4359179 11119779 12773961 13077537 15612619 29111561 39232611 46837857 47950969 87334683 140513571 143852907 171738809 262004049 320227171 431558721 515216427 960681513 1545649281 2882044539 3522498881 4046506979 10567496643 12139520937 31702489929 36418562811 44511576769 133534730307 400604190921 489627344459 1468882033377 4406646100131