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2424420244242 = 232375387675751
BaseRepresentation
bin100011010001111010101…
…101010001101100010010
322120202212000102011101100
4203101322231101230102
5304210203040303432
65053432511445230
7340105252025313
oct43217255215422
98522760364340
102424420244242
11855211029117
12331a51526816
1314781127a979
14854b200260a
15430e872907c
hex2347ab51b12

2424420244242 has 48 divisors (see below), whose sum is σ = 5395890532032. Its totient is φ = 786151332000.

The previous prime is 2424420244237. The next prime is 2424420244261.

2424420244242 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 4 + 202 + 442 + 4 + 2 = 666.

2424420244242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2424420244197 and 2424420244206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249867 + ... + 3925617.

It is an arithmetic number, because the mean of its divisors is an integer number (112414386084).

Almost surely, 22424420244242 is an apocalyptic number.

2424420244242 is an abundant number, since it is smaller than the sum of its proper divisors (2971470287790).

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

2424420244242 is a wasteful number, since it uses less digits than its factorization.

2424420244242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681183 (or 681180 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 2424420 and 244242, that added together give a palindrome (2668662).

The spelling of 2424420244242 in words is "two trillion, four hundred twenty-four billion, four hundred twenty million, two hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 5387 10774 16161 32322 48483 96966 199319 398638 597957 675751 1195914 1351502 1793871 2027253 3587742 4054506 6081759 12163518 25002787 50005574 75008361 150016722 225025083 450050166 3640270637 7280541274 10920811911 21841623822 32762435733 65524871466 134690013569 269380027138 404070040707 808140081414 1212210122121 2424420244242