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4020414343024 = 2419251299917569
BaseRepresentation
bin111010100000010011010…
…111100110011101110000
3112020100101120212202221211
4322200103113212131300
51011332302032434044
612314541452125504
7563315421030142
oct72402327463560
915210346782854
104020414343024
1113100590a2742
1254b224766894
1323217b297251
14dc836680c92
156e8a82be634
hex3a8135e6770

4020414343024 has 80 divisors (see below), whose sum is σ = 8235410400000. Its totient is φ = 1896079104000.

The previous prime is 4020414343021. The next prime is 4020414343037. The reversal of 4020414343024 is 4203434140204.

4020414343024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020414343021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228826912 + ... + 228844480.

It is an arithmetic number, because the mean of its divisors is an integer number (102942630000).

Almost surely, 24020414343024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020414343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117705200000).

4020414343024 is an abundant number, since it is smaller than the sum of its proper divisors (4214996056976).

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

4020414343024 is a wasteful number, since it uses less digits than its factorization.

4020414343024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846 (or 20840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4020414343024 its reverse (4203434140204), we get a palindrome (8223848483228).

The spelling of 4020414343024 in words is "four trillion, twenty billion, four hundred fourteen million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 251 304 502 1004 2008 2999 4016 4769 5998 9538 11996 17569 19076 23992 35138 38152 47984 56981 70276 76304 113962 140552 227924 281104 333811 455848 667622 752749 911696 1335244 1505498 2670488 3010996 4409819 5340976 6021992 8819638 12043984 14302231 17639276 28604462 35278552 52689431 57208924 70557104 83786561 105378862 114417848 167573122 210757724 228835696 335146244 421515448 670292488 843030896 1001099189 1340584976 2002198378 4004396756 8008793512 13225047181 16017587024 26450094362 52900188724 105800377448 211600754896 251275896439 502551792878 1005103585756 2010207171512 4020414343024