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42400443030 = 23511613735647
BaseRepresentation
bin100111011111010000…
…110110101010010110
311001102221220200021220
4213133100312222112
51143314003134110
631251204351210
73030502550661
oct473720665226
9131387820256
1042400443030
1116a88a43460
1282739a5506
133cc9494a5a
1420a33046d8
1511825e9370
hex9df436a96

42400443030 has 128 divisors (see below), whose sum is σ = 113154471936. Its totient is φ = 10081497600.

The previous prime is 42400442999. The next prime is 42400443031. The reversal of 42400443030 is 3034400424.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400443031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7505667 + ... + 7511313.

It is an arithmetic number, because the mean of its divisors is an integer number (884019312).

Almost surely, 242400443030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42400443030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56577235968).

42400443030 is an abundant number, since it is smaller than the sum of its proper divisors (70754028906).

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

42400443030 is a wasteful number, since it uses less digits than its factorization.

42400443030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42400443030 its reverse (3034400424), we get a palindrome (45434843454).

The spelling of 42400443030 in words is "forty-two billion, four hundred million, four hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 373 610 671 746 915 1119 1342 1830 1865 2013 2238 3355 3730 4026 4103 5595 5647 6710 8206 10065 11190 11294 12309 16941 20130 20515 22753 24618 28235 33882 41030 45506 56470 61545 62117 68259 84705 113765 123090 124234 136518 169410 186351 227530 250283 310585 341295 344467 372702 500566 621170 682590 688934 750849 931755 1033401 1251415 1501698 1722335 1863510 2066802 2106331 2502830 3444670 3754245 3789137 4212662 5167005 6318993 7508490 7578274 10334010 10531655 11367411 12637986 18945685 21063310 22734822 23169641 31594965 37891370 46339282 56837055 63189930 69508923 113674110 115848205 128486191 139017846 231696410 256972382 347544615 385458573 642430955 695089230 770917146 1284861910 1413348101 1927292865 2826696202 3854585730 4240044303 7066740505 8480088606 14133481010 21200221515 42400443030