Search a number
-
+
14066540416461 = 3132941887341993
BaseRepresentation
bin1100110010110001111100…
…1001010000110111001101
31211210202012101110100012110
43030230133021100313031
53320431233321311321
645530025055054233
72651162661511611
oct314543711206715
954722171410173
1014066540416461
11453364a395405
1216b2233b11379
137b0613713240
14368b77807341
15195d82937176
hexccb1f250dcd

14066540416461 has 64 divisors (see below), whose sum is σ = 21428413816320. Its totient is φ = 8144772034560.

The previous prime is 14066540416451. The next prime is 14066540416471. The reversal of 14066540416461 is 16461404566041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14066540416451) and next prime (14066540416471).

It is not a de Polignac number, because 14066540416461 - 217 = 14066540285389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14066540416461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14066540416451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40960081 + ... + 41302073.

It is an arithmetic number, because the mean of its divisors is an integer number (334818965880).

Almost surely, 214066540416461 is an apocalyptic number.

It is an amenable number.

14066540416461 is a deficient number, since it is larger than the sum of its proper divisors (7361873399859).

14066540416461 is a wasteful number, since it uses less digits than its factorization.

14066540416461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342966.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 14066540416461 in words is "fourteen trillion, sixty-six billion, five hundred forty million, four hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 3 13 29 39 41 87 123 377 533 887 1131 1189 1599 2661 3567 11531 15457 25723 34593 36367 46371 77169 109101 334399 341993 472771 1003197 1025979 1054643 1418313 3163929 4445909 9917797 13337727 13710359 14021713 29753391 41131077 42065139 128931361 182282269 303347791 386794083 406629677 546846807 910043373 1219889031 3943521283 5286185801 8797085939 11830563849 12437259431 15858557403 26391257817 37311778293 114362117207 161684372603 343086351621 360680523499 485053117809 1082041570497 4688846805487 14066540416461