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402144432221 = 7311031062949
BaseRepresentation
bin1011101101000011010…
…11010001000001011101
31102110000010200210222102
411312201223101001131
523042042433312341
6504424222454445
741024341163000
oct5664153210135
91373003623872
10402144432221
11145604059034
1265b31434425
132bbca9b524c
141566ccd7537
15a6d9cdac9b
hex5da1ad105d

402144432221 has 16 divisors (see below), whose sum is σ = 469398720000. Its totient is φ = 344382396624.

The previous prime is 402144432191. The next prime is 402144432251. The reversal of 402144432221 is 122234441204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402144432191) and next prime (402144432251).

It is not a de Polignac number, because 402144432221 - 210 = 402144431197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402144432251) 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 15 ways as a sum of consecutive naturals, for example, 153146 + ... + 909803.

It is an arithmetic number, because the mean of its divisors is an integer number (29337420000).

Almost surely, 2402144432221 is an apocalyptic number.

It is an amenable number.

402144432221 is a deficient number, since it is larger than the sum of its proper divisors (67254287779).

402144432221 is a wasteful number, since it uses less digits than its factorization.

402144432221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064073 (or 1064059 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 402144432221 its reverse (122234441204), we get a palindrome (524378873425).

The spelling of 402144432221 in words is "four hundred two billion, one hundred forty-four million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 7 49 343 1103 7721 54047 378329 1062949 7440643 52084501 364591507 1172432747 8207029229 57449204603 402144432221