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420104121234 = 23771975232777
BaseRepresentation
bin1100001110100000010…
…10000010101110010010
31111011100210000112201120
412013100022002232102
523340333123334414
6520554305143110
742231400053240
oct6072012025622
91434323015646
10420104121234
1115218a908226
126950402aa96
1330800770575
141649422d790
15addb8802a9
hex61d0282b92

420104121234 has 128 divisors (see below), whose sum is σ = 986037276672. Its totient is φ = 116853166080.

The previous prime is 420104121233. The next prime is 420104121289. The reversal of 420104121234 is 432121401024.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420104121233) 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, 151278454 + ... + 151281230.

It is an arithmetic number, because the mean of its divisors is an integer number (7703416224).

Almost surely, 2420104121234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420104121234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493018638336).

420104121234 is an abundant number, since it is smaller than the sum of its proper divisors (565933155438).

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

420104121234 is a wasteful number, since it uses less digits than its factorization.

420104121234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420104121234 its reverse (432121401024), we get a palindrome (852225522258).

The spelling of 420104121234 in words is "four hundred twenty billion, one hundred four million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 97 142 194 213 291 426 497 523 582 679 994 1046 1358 1491 1569 2037 2777 2982 3138 3661 4074 5554 6887 7322 8331 10983 13774 16662 19439 20661 21966 37133 38878 41322 48209 50731 58317 74266 96418 101462 111399 116634 144627 152193 197167 222798 259931 269369 289254 304386 355117 394334 519862 538738 591501 710234 779793 808107 1065351 1183002 1380169 1452371 1559586 1616214 1885583 2130702 2760338 2904742 3601901 3771166 4140507 4357113 5656749 7203802 8281014 8714226 10166597 10805703 11313498 19125199 20333194 21611406 25213307 30499791 38250398 50426614 57375597 60999582 75639921 103118341 114751194 133876393 140879987 151279842 206236682 267752786 281759974 309355023 401629179 422639961 618710046 721828387 803258358 845279922 986159909 1443656774 1972319818 2165485161 2958479727 4330970322 5916959454 10002479077 20004958154 30007437231 60014874462 70017353539 140034707078 210052060617 420104121234