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40130140212 = 223231591274799
BaseRepresentation
bin100101010111111100…
…010101100000110100
310211120201221100022100
4211113330111200310
51124141303441322
630234024102100
72620314364221
oct452774254064
9124521840270
1040130140212
1116023466338
12793b604930
133a27019ac6
141d299a6948
15109d141dac
hex957f15834

40130140212 has 144 divisors (see below), whose sum is σ = 107347968000. Its totient is φ = 12622962240.

The previous prime is 40130140207. The next prime is 40130140213. The reversal of 40130140212 is 21204103104.

40130140212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401301402122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130140213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8359789 + ... + 8364587.

It is an arithmetic number, because the mean of its divisors is an integer number (745472000).

Almost surely, 240130140212 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 40130140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53673984000).

40130140212 is an abundant number, since it is smaller than the sum of its proper divisors (67217827788).

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

40130140212 is a wasteful number, since it uses less digits than its factorization.

40130140212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40130140212 its reverse (21204103104), we get a palindrome (61334243316).

The spelling of 40130140212 in words is "forty billion, one hundred thirty million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 127 177 186 236 254 279 354 372 381 508 531 558 708 762 1062 1116 1143 1524 1829 2124 2286 3658 3937 4572 4799 5487 7316 7493 7874 9598 10974 11811 14397 14986 15748 16461 19196 21948 22479 23622 28794 29972 32922 35433 43191 44958 47244 57588 65844 67437 70866 86382 89916 134874 141732 148769 172764 232283 269748 283141 297538 446307 464566 566282 595076 609473 696849 849423 892614 929132 1132564 1218946 1338921 1393698 1698846 1785228 1828419 2090547 2437892 2548269 2677842 2787396 3397692 3656838 4181094 5096538 5355684 5485257 7313676 8362188 8777371 10193076 10970514 17554742 18893663 21941028 26332113 35109484 35958907 37787326 52664226 56680989 71917814 75574652 78996339 105328452 107876721 113361978 143835628 157992678 170042967 215753442 226723956 315985356 323630163 340085934 431506884 647260326 680171868 1114726117 1294520652 2229452234 3344178351 4458904468 6688356702 10032535053 13376713404 20065070106 40130140212