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2412446442142 = 2112181123144741
BaseRepresentation
bin100011000110110001000…
…000110110001010011110
322112121221112120222210111
4203012301000312022132
5304011142242122032
65044132415400234
7336202446263302
oct43066100661236
98477845528714
102412446442142
11850127140400
1232b66b52307a
13146653689679
1484a97a83d02
1542b47430c47
hex231b103629e

2412446442142 has 48 divisors (see below), whose sum is σ = 4002859852992. Its totient is φ = 1089597960000.

The previous prime is 2412446441969. The next prime is 2412446442151.

2412446442142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2412446442095 and 2412446442104.

It is a congruent number.

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, 53897892 + ... + 53942632.

It is an arithmetic number, because the mean of its divisors is an integer number (83392913604).

Almost surely, 22412446442142 is an apocalyptic number.

2412446442142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2412446442142 is a deficient number, since it is larger than the sum of its proper divisors (1590413410850).

2412446442142 is a wasteful number, since it uses less digits than its factorization.

2412446442142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46177 (or 46166 counting only the distinct ones).

The product of its digits is 393216, while the sum is 40.

The spelling of 2412446442142 in words is "two trillion, four hundred twelve billion, four hundred forty-six million, four hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 11 22 121 181 242 362 1231 1991 2462 3982 13541 21901 27082 43802 44741 89482 148951 222811 297902 445622 492151 984302 2450921 4901842 5413661 8098121 10827322 16196242 26960131 53920262 55076171 89079331 110152342 178158662 605837881 979872641 1211675762 1959745282 6664216691 9968786951 13328433382 19937573902 109656656461 219313312922 1206223221071 2412446442142