Search a number
-
+
412034011122041 = 71147193739798257
BaseRepresentation
bin101110110101111100010010…
…0110111100100100101111001
32000000220001210200021020022222
41131223320210313210211321
5413001231123321401131
64020153451145253425
7152534321621502140
oct13553704467444571
92000801720236288
10412034011122041
1110a317708634920
123a266b50794275
13148ba843319609
1473a67a427c757
153297e3bd9887b
hex176be24de4979

412034011122041 has 64 divisors (see below), whose sum is σ = 528067208355840. Its totient is φ = 312182722805760.

The previous prime is 412034011121983. The next prime is 412034011122101. The reversal of 412034011122041 is 140221110430214.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412034011122041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412034011122041.

It is not an unprimeable number, because it can be changed into a prime (412034011122941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515767985 + ... + 516566241.

It is an arithmetic number, because the mean of its divisors is an integer number (8251050130560).

Almost surely, 2412034011122041 is an apocalyptic number.

It is an amenable number.

412034011122041 is a deficient number, since it is larger than the sum of its proper divisors (116033197233799).

412034011122041 is a wasteful number, since it uses less digits than its factorization.

412034011122041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799254.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 412034011122041 its reverse (140221110430214), we get a palindrome (552255121552255).

The spelling of 412034011122041 in words is "four hundred twelve trillion, thirty-four billion, eleven million, one hundred twenty-two thousand, forty-one".

Divisors: 1 7 11 47 77 193 329 517 739 1351 2123 3619 5173 8129 9071 14861 34733 56903 63497 99781 142627 243131 382063 698467 798257 998389 1568897 2674441 5587799 6703469 8780827 10982279 37518079 46924283 61465789 73738159 154063601 262626553 412698869 516167113 589911923 1078445207 1694699611 2888892083 4129383461 6489031153 7240989247 11862897277 27725860381 45423218071 50686924729 79650881717 113853001139 194081022667 304984464191 557556172019 796971007973 1252383012529 2134891249337 5351091053533 8766681087703 37457637374731 58862001588863 412034011122041