Search a number
-
+
2405480845042 = 2117134920032203
BaseRepresentation
bin100011000000010001110…
…101001100111011110010
322111221222002120222220201
4203000101311030323302
5303402411044020132
65041021310425414
7335535025551112
oct43002165147362
98457862528821
102405480845042
11848182254190
1232a24680226a
13145ab353a792
14845d6921042
154288ab602e7
hex23011d4cef2

2405480845042 has 64 divisors (see below), whose sum is σ = 4006935475200. Its totient is φ = 1073887214400.

The previous prime is 2405480844997. The next prime is 2405480845087.

2405480845042 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2405480844997) and next prime (2405480845087).

It is a junction number, because it is equal to n+sod(n) for n = 2405480844983 and 2405480845001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091910313 + ... + 1091912515.

It is an arithmetic number, because the mean of its divisors is an integer number (62608366800).

Almost surely, 22405480845042 is an apocalyptic number.

2405480845042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2405480845042 is a deficient number, since it is larger than the sum of its proper divisors (1601454630158).

2405480845042 is a wasteful number, since it uses less digits than its factorization.

2405480845042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639.

The product of its (nonzero) digits is 1638400, while the sum is 46.

The spelling of 2405480845042 in words is "two trillion, four hundred five billion, four hundred eighty million, eight hundred forty-five thousand, forty-two".

Divisors: 1 2 11 22 71 142 349 698 781 1562 2003 2203 3839 4006 4406 7678 22033 24233 24779 44066 48466 49558 142213 156413 272569 284426 312826 545138 699047 768847 1398094 1537694 1564343 1720543 3128686 3441086 4412609 7689517 8457317 8825218 15379034 16914634 48538699 49632337 54588137 97077398 99264674 109176274 313295239 545955707 600469507 626590478 1091911414 1200939014 1540000541 3080001082 3446247629 6892495258 16940005951 33880011902 109340038411 218680076822 1202740422521 2405480845042