Search a number
-
+
7410060064341 = 3211241269616961
BaseRepresentation
bin110101111010100100111…
…1111110111011001010101
3222020101122211022120021200
41223311021333313121111
51432401300334024331
623432045023503113
71363234124205654
oct153651177673125
928211584276250
107410060064341
1123a76527a9a00
129b8152157a99
134199c522445c
141b891251519b
15ccb453bc5e6
hex6bd49ff7655

7410060064341 has 72 divisors (see below), whose sum is σ = 12096687559320. Its totient is φ = 4365115392000.

The previous prime is 7410060064331. The next prime is 7410060064349. The reversal of 7410060064341 is 1434600600147.

7410060064341 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 0 + 6 + 0 + 0 + 643 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9190098225 + 7400869966116 = 95865^2 + 2720454^2 .

It is not a de Polignac number, because 7410060064341 - 221 = 7410057967189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7410060064296 and 7410060064305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7410060064349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11702101 + ... + 12319061.

It is an arithmetic number, because the mean of its divisors is an integer number (168009549435).

Almost surely, 27410060064341 is an apocalyptic number.

It is an amenable number.

7410060064341 is a deficient number, since it is larger than the sum of its proper divisors (4686627494979).

7410060064341 is a wasteful number, since it uses less digits than its factorization.

7410060064341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617299 (or 617285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 7410060064341 its reverse (1434600600147), we get a palindrome (8844660664488).

The spelling of 7410060064341 in words is "seven trillion, four hundred ten billion, sixty million, sixty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 41 99 121 123 269 363 369 451 807 1089 1353 2421 2959 4059 4961 8877 11029 14883 26631 32549 33087 44649 97647 99261 121319 292941 363957 616961 1091871 1334509 1850883 4003527 5552649 6786571 12010581 20359713 25295401 61079139 74652281 75886203 165962509 223956843 227658609 278249411 497887527 671870529 834748233 1493662581 1825587599 2504244699 3060743521 5476762797 6804462869 9182230563 16430288391 20081463589 20413388607 27546691689 60244390767 61240165821 74849091559 180733172301 224547274677 673641824031 823340007149 2470020021447 7410060064341