Search a number
-
+
4014344131434 = 2327134159774623
BaseRepresentation
bin111010011010101001100…
…011100101001101101010
3112012202201112201002002100
4322122221203211031222
51011232334044201214
612312055250314230
7563012122054230
oct72325143451552
915182645632070
104014344131434
11130852367694a
1254a00b888976
132317217b7580
14dc41c3d6950
156e650418309
hex3a6a98e536a

4014344131434 has 96 divisors (see below), whose sum is σ = 10966013420544. Its totient is φ = 1032905468160.

The previous prime is 4014344131403. The next prime is 4014344131471. The reversal of 4014344131434 is 4341314434104.

4014344131434 is a `hidden beast` number, since 4 + 0 + 143 + 441 + 31 + 43 + 4 = 666.

It is a super-2 number, since 2×40143441314342 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29820154 + ... + 29954469.

It is an arithmetic number, because the mean of its divisors is an integer number (114229306464).

Almost surely, 24014344131434 is an apocalyptic number.

4014344131434 is an abundant number, since it is smaller than the sum of its proper divisors (6951669289110).

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

4014344131434 is a wasteful number, since it uses less digits than its factorization.

4014344131434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59774692 (or 59774689 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 4014344131434 its reverse (4341314434104), we get a palindrome (8355658565538).

The spelling of 4014344131434 in words is "four trillion, fourteen billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 738 819 861 1066 1599 1638 1722 2583 3198 3731 4797 5166 7462 9594 11193 22386 33579 67158 59774623 119549246 179323869 358647738 418422361 537971607 777070099 836844722 1075943214 1255267083 1554140198 2331210297 2450759543 2510534166 3765801249 4662420594 4901519086 5439490693 6993630891 7352278629 7531602498 10878981386 13987261782 14704557258 16318472079 17155316801 22056835887 31859874059 32636944158 34310633602 44113671774 48955416237 51465950403 63719748118 95579622177 97910832474 102931900806 154397851209 191159244354 223019118413 286738866531 308795702418 446038236826 573477733062 669057355239 1338114710478 2007172065717 4014344131434