Search a number
-
+
402431422211 = 713219233125111
BaseRepresentation
bin1011101101100101100…
…10000010111100000011
31102110202010201102020022
411312302302002330003
523043134421002321
6504512514004055
741034424435340
oct5666262027403
91373663642208
10402431422211
11145741056945
1265bb157662b
132bc452a9400
14156990817c7
15a7050c9dab
hex5db2c82f03

402431422211 has 96 divisors (see below), whose sum is σ = 564694548480. Its totient is φ = 279215164800.

The previous prime is 402431422091. The next prime is 402431422213. The reversal of 402431422211 is 112224134204.

It is not a de Polignac number, because 402431422211 - 218 = 402431160067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402431422213) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16013546 + ... + 16038656.

It is an arithmetic number, because the mean of its divisors is an integer number (5882234880).

Almost surely, 2402431422211 is an apocalyptic number.

402431422211 is a deficient number, since it is larger than the sum of its proper divisors (162263126269).

402431422211 is a wasteful number, since it uses less digits than its factorization.

402431422211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25217 (or 25204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 402431422211 its reverse (112224134204), we get a palindrome (514655556415).

The spelling of 402431422211 in words is "four hundred two billion, four hundred thirty-one million, four hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 13 19 23 31 91 133 161 169 217 247 299 403 437 589 713 1183 1729 2093 2821 3059 3211 3887 4123 4991 5239 5681 7657 9269 13547 22477 25111 27209 36673 39767 53599 64883 73853 94829 99541 120497 175777 176111 326443 477109 516971 577553 696787 778441 843479 1232777 2285101 2289443 3339763 4042871 4243759 5449087 6202417 7508189 10119733 10973507 14790379 16026101 17904143 29706313 43416919 52557323 70838131 76814549 80631421 97606457 103532653 125329001 131556529 142655591 192274927 232753859 340178717 564419947 683245199 920895703 998589137 1345924489 1629277013 1854522683 2381251019 2499574051 3025800167 4422323321 12981658781 17497018357 21180601169 30956263247 57490203173 402431422211