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402420202420 = 22523967904681
BaseRepresentation
bin1011101101100100001…
…11001111101110110100
31102110201100121101120111
411312302013033232310
523043124032434140
6504511433312404
741034230165515
oct5666207175664
91373640541514
10402420202420
11145735793295
1265ba9865704
132bc42b7b592
14156977a0a0c
15a7041107ea
hex5db21cfbb4

402420202420 has 48 divisors (see below), whose sum is σ = 882738033408. Its totient is φ = 153810074880.

The previous prime is 402420202409. The next prime is 402420202433. The reversal of 402420202420 is 24202024204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 402420202391 and 402420202400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7521 + ... + 897160.

It is an arithmetic number, because the mean of its divisors is an integer number (18390375696).

Almost surely, 2402420202420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402420202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441369016704).

402420202420 is an abundant number, since it is smaller than the sum of its proper divisors (480317830988).

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

402420202420 is a wasteful number, since it uses less digits than its factorization.

402420202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905680 (or 905678 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 402420202420 its reverse (24202024204), we get a palindrome (426622226624).

The spelling of 402420202420 in words is "four hundred two billion, four hundred twenty million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 967 1934 3868 4835 9670 19340 22241 44482 88964 111205 222410 444820 904681 1809362 3618724 4523405 9046810 18093620 20807663 41615326 83230652 104038315 208076630 416153260 874826527 1749653054 3499306108 4374132635 8748265270 17496530540 20121010121 40242020242 80484040484 100605050605 201210101210 402420202420