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42024204220224 = 2631760631243169
BaseRepresentation
bin10011000111000100001011…
…10000111011011101000000
312111210110211001021122110110
421203202011300323131000
521002011032240021344
6225213353005431320
711565101646034362
oct1143420560733500
9174713731248413
1042024204220224
1112432401793846
1248686a4b6b540
131a5ab3352c325
14a53da7764d32
154cd22caca3b9
hex263885c3b740

42024204220224 has 56 divisors (see below), whose sum is σ = 111189761303040. Its totient is φ = 14007977242624.

The previous prime is 42024204220189. The next prime is 42024204220247. The reversal of 42024204220224 is 42202240242024.

It is a super-2 number, since 2×420242042202242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42024204220191 and 42024204220200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33182512 + ... + 34425680.

It is an arithmetic number, because the mean of its divisors is an integer number (1985531451840).

Almost surely, 242024204220224 is an apocalyptic number.

It is an amenable number.

42024204220224 is an abundant number, since it is smaller than the sum of its proper divisors (69165557082816).

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

42024204220224 is a wasteful number, since it uses less digits than its factorization.

42024204220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419247 (or 1419237 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42024204220224 its reverse (42202240242024), we get a palindrome (84226444462248).

The spelling of 42024204220224 in words is "forty-two trillion, twenty-four billion, two hundred four million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 176063 352126 528189 704252 1056378 1243169 1408504 2112756 2486338 2817008 3729507 4225512 4972676 5634016 7459014 8451024 9945352 11268032 14918028 16902048 19890704 29836056 33804096 39781408 59672112 79562816 119344224 238688448 218876063647 437752127294 656628190941 875504254588 1313256381882 1751008509176 2626512763764 3502017018352 5253025527528 7004034036704 10506051055056 14008068073408 21012102110112 42024204220224