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2412240422142 = 2319232167239521
BaseRepresentation
bin100011000110100100101…
…110111100010011111110
322112121102011221002111010
4203012210232330103332
5304010232022002032
65044100135540050
7336164365164015
oct43064456742376
98477364832433
102412240422142
11850030916541
1232b61252a626
1314661caa5245
1484a78575a7c
1542b342d7ccc
hex231a4bbc4fe

2412240422142 has 96 divisors (see below), whose sum is σ = 5340612453120. Its totient is φ = 724273989120.

The previous prime is 2412240422113. The next prime is 2412240422143.

2412240422142 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412240422143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9951342 + ... + 10190862.

It is an arithmetic number, because the mean of its divisors is an integer number (55631379720).

Almost surely, 22412240422142 is an apocalyptic number.

2412240422142 is an abundant number, since it is smaller than the sum of its proper divisors (2928372030978).

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

2412240422142 is a wasteful number, since it uses less digits than its factorization.

2412240422142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239758 (or 239735 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 2412240 and 422142, that added together give a palindrome (2834382).

The spelling of 2412240422142 in words is "two trillion, four hundred twelve billion, two hundred forty million, four hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 167 334 437 501 529 874 1002 1058 1311 1587 2622 3173 3174 3841 6346 7682 9519 10051 11523 19038 20102 23046 30153 60306 72979 88343 145958 176686 218937 239521 265029 437874 479042 530058 718563 1437126 1678517 3357034 4550899 5035551 5508983 9101798 10071102 11017966 13652697 16526949 27305394 33053898 40000007 80000014 104670677 120000021 126706609 209341354 240000042 253413218 314012031 380119827 628024062 760000133 760239654 920000161 1520000266 1840000322 2280000399 2407425571 2760000483 4560000798 4814851142 5520000966 7222276713 14444553426 17480003059 21160003703 34960006118 42320007406 52440009177 63480011109 104880018354 126960022218 402040070357 804080140714 1206120211071 2412240422142