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4331214553705 = 5131031933599337
BaseRepresentation
bin111111000001110000100…
…000010100001001101001
3120100001121210022100111221
4333001300200110021221
51031430311411204310
613113422115222041
7624630351156304
oct77016040241151
916301553270457
104331214553705
11141a948779096
1259b502ba7921
1325557c80b060
1410d8bbd27b3b
15779e8c05ada
hex3f070814269

4331214553705 has 64 divisors (see below), whose sum is σ = 5697321477120. Its totient is φ = 3141857673216.

The previous prime is 4331214553691. The next prime is 4331214553709. The reversal of 4331214553705 is 5073554121334.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4331214553705 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4331214553709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463871797 + ... + 463881133.

It is an arithmetic number, because the mean of its divisors is an integer number (89020648080).

Almost surely, 24331214553705 is an apocalyptic number.

It is an amenable number.

4331214553705 is a deficient number, since it is larger than the sum of its proper divisors (1366106923415).

4331214553705 is a wasteful number, since it uses less digits than its factorization.

4331214553705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010.

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 4331214553705 in words is "four trillion, three hundred thirty-one billion, two hundred fourteen million, five hundred fifty-three thousand, seven hundred five".

Divisors: 1 5 13 65 103 193 359 515 965 1339 1795 2509 4667 6695 9337 12545 19879 23335 36977 46685 69287 99395 121381 184885 258427 346435 480701 606905 900731 961711 1292135 1802041 2403505 3351983 4503655 4808555 7136561 9010205 12502243 16759915 23426533 35682805 43575779 62511215 92775293 117132665 185610223 217878895 345254249 463876465 646932719 928051115 1726271245 2412932899 3234663595 4488305237 8410125347 12064664495 22441526185 42050626735 66634070057 333170350285 866242910741 4331214553705