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42044140314 = 23311222928099
BaseRepresentation
bin100111001010000001…
…101010101100011010
311000112010110121212000
4213022001222230122
51142101244442224
631151555501430
73015615203361
oct471201525432
9130463417760
1042044140314
1116915903a00
1281945b7876
133c70712b47
14206bc767d8
1511611b80c9
hex9ca06ab1a

42044140314 has 96 divisors (see below), whose sum is σ = 103149480000. Its totient is φ = 12684561120.

The previous prime is 42044140267. The next prime is 42044140331. The reversal of 42044140314 is 41304144024.

42044140314 is a `hidden beast` number, since 4 + 204 + 4 + 140 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1482237 + ... + 1510335.

It is an arithmetic number, because the mean of its divisors is an integer number (1074473750).

Almost surely, 242044140314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42044140314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574740000).

42044140314 is an abundant number, since it is smaller than the sum of its proper divisors (61105339686).

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

42044140314 is a wasteful number, since it uses less digits than its factorization.

42044140314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28361 (or 28344 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42044140314 its reverse (41304144024), we get a palindrome (83348284338).

The spelling of 42044140314 in words is "forty-two billion, forty-four million, one hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 229 242 297 363 458 594 687 726 1089 1374 2061 2178 2519 3267 4122 5038 6183 6534 7557 12366 15114 22671 27709 28099 45342 55418 56198 68013 83127 84297 136026 166254 168594 249381 252891 309089 498762 505782 618178 748143 758673 927267 1496286 1517346 1854534 2781801 3399979 5563602 6434671 6799958 8345403 10199937 12869342 16690806 19304013 20399874 30599811 38608026 57912039 61199622 70781381 91799433 115824078 141562762 173736117 183598866 212344143 347472234 424688286 637032429 778595191 1274064858 1557190382 1911097287 2335785573 3822194574 4671571146 7007356719 14014713438 21022070157 42044140314