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402134444244 = 2232131217706049
BaseRepresentation
bin1011101101000010001…
…01001010100011010100
31102102222102220101001100
411312201011022203110
523042032404203434
6504423224430100
741024160243351
oct5664105124324
91372872811040
10402134444244
111455a9456a05
1265b2a018330
132bbc88c8cc0
141566b857628
15a6d8eb6699
hex5da114a8d4

402134444244 has 72 divisors (see below), whose sum is σ = 1095600378600. Its totient is φ = 123631828992.

The previous prime is 402134444227. The next prime is 402134444267. The reversal of 402134444244 is 442444431204.

It is a happy number.

402134444244 is a `hidden beast` number, since 40 + 2 + 134 + 4 + 442 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15173312400 + 386961131844 = 123180^2 + 622062^2 .

It is a super-2 number, since 2×4021344442442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402134444199 and 402134444208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216532 + ... + 922580.

It is an arithmetic number, because the mean of its divisors is an integer number (15216671925).

Almost surely, 2402134444244 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 402134444244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547800189300).

402134444244 is an abundant number, since it is smaller than the sum of its proper divisors (693465934356).

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

402134444244 is a wasteful number, since it uses less digits than its factorization.

402134444244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707289 (or 707284 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 402134444244 its reverse (442444431204), we get a palindrome (844578875448).

The spelling of 402134444244 in words is "four hundred two billion, one hundred thirty-four million, four hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1217 2434 3651 4868 7302 10953 14604 15821 21906 31642 43812 47463 63284 94926 142389 189852 284778 569556 706049 1412098 2118147 2824196 4236294 6354441 8472588 9178637 12708882 18357274 25417764 27535911 36714548 55071822 82607733 110143644 165215466 330430932 859261633 1718523266 2577784899 3437046532 5155569798 7733354697 10311139596 11170401229 15466709394 22340802458 30933418788 33511203687 44681604916 67022407374 100533611061 134044814748 201067222122 402134444244