Search a number
-
+
402442244204 = 2271113953105467
BaseRepresentation
bin1011101101100110110…
…11010101000001101100
31102110202220002020012212
411312303123111001230
523043200203303304
6504513541545552
741034615430340
oct5666333250154
91373686066185
10402442244204
11145747178640
1265bb51152b8
132bc475c8160
141569a69b620
15a70601666e
hex5db36d506c

402442244204 has 96 divisors (see below), whose sum is σ = 946599768576. Its totient is φ = 144581230080.

The previous prime is 402442244189. The next prime is 402442244209.

402442244204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (402442244209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3763079 + ... + 3868545.

It is an arithmetic number, because the mean of its divisors is an integer number (9860414256).

Almost surely, 2402442244204 is an apocalyptic number.

402442244204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402442244204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473299884288).

402442244204 is an abundant number, since it is smaller than the sum of its proper divisors (544157524372).

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

402442244204 is a wasteful number, since it uses less digits than its factorization.

402442244204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106455 (or 106453 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 402442 and 244204, that added together give a palindrome (646646).

The spelling of 402442244204 in words is "four hundred two billion, four hundred forty-two million, two hundred forty-four thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 953 1001 1906 2002 3812 4004 6671 10483 12389 13342 20966 24778 26684 41932 49556 73381 86723 105467 136279 146762 173446 210934 272558 293524 346892 421868 545116 738269 953953 1160137 1371071 1476538 1907906 2320274 2742142 2953076 3815812 4640548 5484284 8120959 9597497 15081781 16241918 19194994 30163562 32483836 38389988 60327124 100510051 105572467 201020102 211144934 402040204 422289868 703570357 1105610561 1306630663 1407140714 2211221122 2613261326 2814281428 4422442244 5226522652 7739273927 9146414641 14372937293 15478547854 18292829282 28745874586 30957095708 36585658564 57491749172 100610561051 201221122102 402442244204