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2430044214303 = 313925169133599
BaseRepresentation
bin100011010111001001111…
…011000001010000011111
322121022100221220102221210
4203113021323001100133
5304303212304324203
65100202532555503
7340364522004426
oct43271173012037
98538327812853
102430044214303
11857637676062
12332b60a82b93
131481c94785c4
1485886cca2bd
1543327335803
hex235c9ec141f

2430044214303 has 32 divisors (see below), whose sum is σ = 3281209344000. Its totient is φ = 1599600780000.

The previous prime is 2430044214293. The next prime is 2430044214313. The reversal of 2430044214303 is 3034124400342.

It is a happy number.

2430044214303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2430044214293) and next prime (2430044214313).

It is not a de Polignac number, because 2430044214303 - 216 = 2430044148767 is a prime.

It is a super-2 number, since 2×24300442143032 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430044214313) 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, 72308098 + ... + 72341696.

It is an arithmetic number, because the mean of its divisors is an integer number (102537792000).

Almost surely, 22430044214303 is an apocalyptic number.

2430044214303 is a deficient number, since it is larger than the sum of its proper divisors (851165129697).

2430044214303 is a wasteful number, since it uses less digits than its factorization.

2430044214303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34683.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2430044214303 its reverse (3034124400342), we get a palindrome (5464168614645).

The spelling of 2430044214303 in words is "two trillion, four hundred thirty billion, forty-four million, two hundred fourteen thousand, three hundred three".

Divisors: 1 3 139 251 417 691 753 2073 33599 34889 96049 100797 104667 173441 288147 520323 4670261 8433349 14010783 23216909 24108299 25300047 69650727 72324897 1172235511 3227150351 3516706533 5827444159 9681451053 17482332477 810014738101 2430044214303