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42121334221340 = 225112271021182601
BaseRepresentation
bin10011001001111001000110…
…01010011110101000011100
312112010202112012111221101012
421210330203022132220130
521010103443030040330
6225330135050434352
711605110633314243
oct1144744312365034
9175122465457335
1042121334221340
111246a615081240
1248834917329b8
131a6704257367a
14a5897d57d95a
154d0a14d9ec95
hex264f2329ea1c

42121334221340 has 96 divisors (see below), whose sum is σ = 96931905977088. Its totient is φ = 15247695680000.

The previous prime is 42121334221339. The next prime is 42121334221357. The reversal of 42121334221340 is 4312243312124.

It is a happy number.

It is a super-2 number, since 2×421213342213402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42121334221297 and 42121334221306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509896040 + ... + 509978640.

It is an arithmetic number, because the mean of its divisors is an integer number (1009707353928).

Almost surely, 242121334221340 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 42121334221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48465952988544).

42121334221340 is an abundant number, since it is smaller than the sum of its proper divisors (54810571755748).

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

42121334221340 is a wasteful number, since it uses less digits than its factorization.

42121334221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93059 (or 93057 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42121334221340 its reverse (4312243312124), we get a palindrome (46433577533464).

The spelling of 42121334221340 in words is "forty-two trillion, one hundred twenty-one billion, three hundred thirty-four million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2270 2497 4540 4994 9988 10211 12485 20422 24970 40844 49940 51055 82601 102110 112321 165202 204220 224642 330404 413005 449284 561605 826010 908611 1123210 1652020 1817222 2246420 2317897 3634444 4543055 4635794 9086110 9271588 11589485 18172220 18750427 23178970 25496867 37500854 46357940 50993734 75001708 93752135 101987468 127484335 187504270 206254697 254968670 375008540 412509394 509937340 825018788 843438811 1031273485 1686877622 2062546970 3373755244 4125093940 4217194055 8434388110 9277826921 16868776220 18555653842 37111307684 46389134605 92778269210 185556538420 191460610097 382921220194 765842440388 957303050485 1914606100970 2106066711067 3829212201940 4212133422134 8424266844268 10530333555335 21060667110670 42121334221340