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402213131340 = 2235317916131697
BaseRepresentation
bin1011101101001011100…
…01010101010001001100
31102110011220222002110020
411312211301111101030
523042213030200330
6504435115142140
741026134130656
oct5664561252114
91373156862406
10402213131340
11145639910769
1265b50444950
132bc0bcb9907
141567809b6d6
15a6e0d5b210
hex5da5c5544c

402213131340 has 192 divisors, whose sum is σ = 1178665205760. Its totient is φ = 102359162880.

The previous prime is 402213131339. The next prime is 402213131393. The reversal of 402213131340 is 43131312204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 402213131340.

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 63 ways as a sum of consecutive naturals, for example, 237013372 + ... + 237015068.

It is an arithmetic number, because the mean of its divisors is an integer number (6138881280).

Almost surely, 2402213131340 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 402213131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589332602880).

402213131340 is an abundant number, since it is smaller than the sum of its proper divisors (776452074420).

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

402213131340 is a wasteful number, since it uses less digits than its factorization.

402213131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 402213131340 its reverse (43131312204), we get a palindrome (445344443544).

The spelling of 402213131340 in words is "four hundred two billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred forty".