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2424120214242 = 232389197371781
BaseRepresentation
bin100011010001101000110…
…100110000001011100010
322120202002002212001121010
4203101220310300023202
5304204044233323432
65053343033041350
7340064646562266
oct43215064601342
98522062761533
102424120214242
11855077734141
12331988b56256
1314779406c31c
14854842220a6
15430cc2113cc
hex23468d302e2

2424120214242 has 32 divisors (see below), whose sum is σ = 5115876589440. Its totient is φ = 764223532160.

The previous prime is 2424120214211. The next prime is 2424120214283.

2424120214242 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 98673609 + ... + 98698172.

It is an arithmetic number, because the mean of its divisors is an integer number (159871143420).

Almost surely, 22424120214242 is an apocalyptic number.

2424120214242 is an abundant number, since it is smaller than the sum of its proper divisors (2691756375198).

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

2424120214242 is a wasteful number, since it uses less digits than its factorization.

2424120214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197371898.

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

It can be divided in two parts, 2424120 and 214242, that added together give a palindrome (2638362).

The spelling of 2424120214242 in words is "two trillion, four hundred twenty-four billion, one hundred twenty million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 23 46 69 89 138 178 267 534 2047 4094 6141 12282 197371781 394743562 592115343 1184230686 4539550963 9079101926 13618652889 17566088509 27237305778 35132177018 52698265527 105396531054 404020035707 808040071414 1212060107121 2424120214242