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4220124142432 = 251141928613339
BaseRepresentation
bin111101011010010011000…
…000000001101101100000
3112221102212201002202002011
4331122103000001231200
51023120303240024212
612550410454202304
7613615416230242
oct75322300015540
915842781082064
104220124142432
111387821072940
12581a7b053394
13247c57439aa3
1410837ddc0092
1574b9601d4a7
hex3d693001b60

4220124142432 has 48 divisors (see below), whose sum is σ = 9085307716800. Its totient is φ = 1913660045440.

The previous prime is 4220124142337. The next prime is 4220124142471. The reversal of 4220124142432 is 2342414210224.

It is a super-3 number, since 3×42201241424323 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4220124142394 and 4220124142403.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14159182 + ... + 14454157.

It is an arithmetic number, because the mean of its divisors is an integer number (189277244100).

Almost surely, 24220124142432 is an apocalyptic number.

It is an amenable number.

4220124142432 is an abundant number, since it is smaller than the sum of its proper divisors (4865183574368).

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

4220124142432 is a wasteful number, since it uses less digits than its factorization.

4220124142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28613779 (or 28613771 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 4220124142432 its reverse (2342414210224), we get a palindrome (6562538352656).

The spelling of 4220124142432 in words is "four trillion, two hundred twenty billion, one hundred twenty-four million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 419 838 1676 3352 4609 6704 9218 13408 18436 36872 73744 147488 28613339 57226678 114453356 228906712 314746729 457813424 629493458 915626848 1258986916 2517973832 5035947664 10071895328 11988989041 23977978082 47955956164 95911912328 131878879451 191823824656 263757758902 383647649312 527515517804 1055031035608 2110062071216 4220124142432