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3141114220413 = 33132977096783
BaseRepresentation
bin101101101101011000111…
…111110100111101111101
3102010021202122120102021000
4231231120333310331331
5402431000220023123
610403001415000513
7442636511224311
oct55553077647575
912107678512230
103141114220413
1110011590a8134
12428928969139
1319a28a1b1400
14ac0604c5b41
1556a931a9b43
hex2db58ff4f7d

3141114220413 has 48 divisors (see below), whose sum is σ = 5090948970240. Its totient is φ = 1913065330176.

The previous prime is 3141114220381. The next prime is 3141114220417. The reversal of 3141114220413 is 3140224111413.

It is a happy number.

3141114220413 is a `hidden beast` number, since 3 + 1 + 4 + 11 + 14 + 220 + 413 = 666.

It is not a de Polignac number, because 3141114220413 - 25 = 3141114220381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141114220417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105781 + ... + 3991002.

It is an arithmetic number, because the mean of its divisors is an integer number (106061436880).

Almost surely, 23141114220413 is an apocalyptic number.

It is an amenable number.

3141114220413 is a deficient number, since it is larger than the sum of its proper divisors (1949834749827).

3141114220413 is a wasteful number, since it uses less digits than its factorization.

3141114220413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096915 (or 7096896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3141114220413 its reverse (3140224111413), we get a palindrome (6281338331826).

The spelling of 3141114220413 in words is "three trillion, one hundred forty-one billion, one hundred fourteen million, two hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 39 97 117 169 291 351 507 873 1261 1521 2619 3783 4563 11349 16393 34047 49179 147537 442611 7096783 21290349 63871047 92258179 191613141 276774537 688387951 830323611 1199356327 2065163853 2490970833 3598068981 6195491559 8949043363 10794206943 18586474677 26847130089 32382620829 80541390267 116337563719 241624170801 349012691157 1047038073471 3141114220413