Search a number
-
+
4032011323431 = 3271331355744647
BaseRepresentation
bin111010101011000110100…
…110100100100000100111
3112021110022210122102100200
4322223012212210200213
51012030024344322211
612324140323441543
7564205666524510
oct72530646444047
915243283572320
104032011323431
111314a6a306773
125515205262b3
132332a8aa0c30
14dd21694da07
156ed36481b56
hex3aac69a4827

4032011323431 has 96 divisors (see below), whose sum is σ = 7401492553728. Its totient is φ = 2057544840960.

The previous prime is 4032011323423. The next prime is 4032011323433. The reversal of 4032011323431 is 1343231102304.

It is a happy number.

4032011323431 is a `hidden beast` number, since 4 + 0 + 3 + 201 + 1 + 3 + 23 + 431 = 666.

4032011323431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4032011323431 - 23 = 4032011323423 is a prime.

It is a super-2 number, since 2×40320113234312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4032011323395 and 4032011323404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032011323433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90286350 + ... + 90330996.

It is an arithmetic number, because the mean of its divisors is an integer number (77098880768).

Almost surely, 24032011323431 is an apocalyptic number.

4032011323431 is a deficient number, since it is larger than the sum of its proper divisors (3369481230297).

4032011323431 is a wasteful number, since it uses less digits than its factorization.

4032011323431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48261 (or 48258 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4032011323431 its reverse (1343231102304), we get a palindrome (5375242425735).

The spelling of 4032011323431 in words is "four trillion, thirty-two billion, eleven million, three hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 819 1209 1953 2821 3557 3627 8463 10671 24899 25389 32013 44647 46241 74697 110267 133941 138723 224091 312529 323687 330801 401823 416169 580411 771869 937587 971061 992403 1384057 1433471 1741233 2315607 2812761 2913183 4062877 4152171 4300413 5223699 6946821 9688399 10034297 12188631 12456513 12901239 17992741 29065197 30102891 36565893 53978223 87195591 90308673 125949187 158809379 161934669 377847561 476428137 1111665653 1133542683 1429284411 2064521927 3334996959 4923090749 6193565781 10004990877 14451653489 14769272247 18580697343 34461635243 43354960467 44307816741 64000179737 103384905729 130064881401 192000539211 310154717187 448001258159 576001617633 1344003774477 4032011323431