Search a number
-
+
41631452441631 = 32138336137118633
BaseRepresentation
bin10010111011101000100111…
…11011110010110000011111
312110101221001111112002000100
421131310103323302300133
520424042203311113011
6224313120352032143
711524526126016243
oct1135642373626037
9173357044462010
1041631452441631
11122a0888634478
124804555232653
131a2caa1765bc0
14a3cd8a094423
154c2de26ccd56
hex25dd13ef2c1f

41631452441631 has 48 divisors (see below), whose sum is σ = 65542644681696. Its totient is φ = 25309774660608.

The previous prime is 41631452441569. The next prime is 41631452441681. The reversal of 41631452441631 is 13614425413614.

41631452441631 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 1 + 4 + 5 + 2 + 4 + 4 + 1 + 631 = 666.

It is not a de Polignac number, because 41631452441631 - 215 = 41631452408863 is a prime.

It is a super-2 number, since 2×416314524416312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41631452441681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350867091 + ... + 350985723.

It is an arithmetic number, because the mean of its divisors is an integer number (1365471764202).

Almost surely, 241631452441631 is an apocalyptic number.

41631452441631 is a deficient number, since it is larger than the sum of its proper divisors (23911192240065).

41631452441631 is a wasteful number, since it uses less digits than its factorization.

41631452441631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154872 (or 154869 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 41631452441631 in words is "forty-one trillion, six hundred thirty-one billion, four hundred fifty-two million, four hundred forty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 13 39 83 117 249 747 1079 3237 9711 36137 108411 118633 325233 355899 469781 1067697 1409343 1542229 2999371 4228029 4626687 8998113 9846539 13880061 26994339 29539617 38991823 88618851 116975469 128005007 350926407 384015021 1152045063 4287040721 12861122163 38583366489 55731529373 167194588119 355824379843 501583764357 1067473139529 3202419418587 4625716937959 13877150813877 41631452441631