Search a number
-
+
2307105114405 = 357213241455271
BaseRepresentation
bin100001100100101010001…
…011100100100100100101
322011120001010022002100120
4201210222023210210211
5300244422402130110
64523511445232153
7325453133622600
oct41445213444445
98146033262316
102307105114405
1180a48a766763
12313170a02659
131397363b0590
147d9434b1337
154002e31a870
hex2192a2e4925

2307105114405 has 48 divisors (see below), whose sum is σ = 4624351369344. Its totient is φ = 973547648640.

The previous prime is 2307105114371. The next prime is 2307105114407. The reversal of 2307105114405 is 5044115017032.

It is not a de Polignac number, because 2307105114405 - 29 = 2307105113893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307105114407) 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 47 ways as a sum of consecutive naturals, for example, 120718081 + ... + 120737190.

It is an arithmetic number, because the mean of its divisors is an integer number (96340653528).

Almost surely, 22307105114405 is an apocalyptic number.

It is an amenable number.

2307105114405 is an abundant number, since it is smaller than the sum of its proper divisors (2317246254939).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2307105114405 is a wasteful number, since it uses less digits than its factorization.

2307105114405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241455306 (or 241455299 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 2307105114405 in words is "two trillion, three hundred seven billion, one hundred five million, one hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 241455271 724365813 1207276355 1690186897 3138918523 3621829065 5070560691 8450934485 9416755569 11831308279 15694592615 21972429661 25352803455 35493924837 47083777845 59156541395 65917288983 109862148305 153807007627 177469624185 329586444915 461421022881 769035038135 2307105114405