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4043556342 = 23373435077
BaseRepresentation
bin1111000100000011…
…1100010111110110
3101102210122221112000
43301000330113312
531240122300332
61505123240130
7202126443000
oct36100742766
911383587460
104043556342
111795533801
1294a219046
134c5961bb7
142a5051370
15189ecab7c
hexf103c5f6

4043556342 has 128 divisors (see below), whose sum is σ = 10724736000. Its totient is φ = 1128212064.

The previous prime is 4043556277. The next prime is 4043556343. The reversal of 4043556342 is 2436553404.

It is a junction number, because it is equal to n+sod(n) for n = 4043556297 and 4043556306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043556343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 793908 + ... + 798984.

It is an arithmetic number, because the mean of its divisors is an integer number (83787000).

Almost surely, 24043556342 is an apocalyptic number.

4043556342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043556342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362368000).

4043556342 is an abundant number, since it is smaller than the sum of its proper divisors (6681179658).

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

4043556342 is a wasteful number, since it uses less digits than its factorization.

4043556342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 4043556342 is about 63588.9639953349. The cubic root of 4043556342 is about 1593.1420459870.

The spelling of 4043556342 in words is "four billion, forty-three million, five hundred fifty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 86 98 126 129 147 189 258 294 301 343 378 387 441 602 686 774 882 903 1029 1161 1323 1806 2058 2107 2322 2646 2709 3087 4214 5077 5418 6174 6321 8127 9261 10154 12642 14749 15231 16254 18522 18963 29498 30462 35539 37926 44247 45693 56889 71078 88494 91386 106617 113778 132741 137079 213234 218311 248773 265482 274158 319851 398223 436622 497546 639702 654933 746319 796446 959553 1309866 1492638 1528177 1741411 1919106 1964799 2238957 3056354 3482822 3929598 4477914 4584531 5224233 5894397 6716871 9169062 10448466 10697239 11788794 13433742 13753593 15672699 21394478 27507186 31345398 32091717 41260779 47018097 64183434 74880673 82521558 94036194 96275151 149761346 192550302 224642019 288825453 449284038 577650906 673926057 1347852114 2021778171 4043556342