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40541310411012 = 22322323735707301
BaseRepresentation
bin10010011011111010000100…
…11001111110000100000100
312022112201012121222001000200
421031331002121332010010
520303212100431123022
6222120230525010500
711353004315445225
oct1115750231760404
9168481177861020
1040541310411012
1111a105228a9814
1246692169b3a30
13198104c109708
14a022d1d3b24c
154a488c3d1bac
hex24df4267e104

40541310411012 has 108 divisors (see below), whose sum is σ = 107416000896204. Its totient is φ = 12891557923200.

The previous prime is 40541310410977. The next prime is 40541310411071. The reversal of 40541310411012 is 21011401314504.

It is a happy number.

40541310411012 is a `hidden beast` number, since 4 + 0 + 541 + 3 + 1 + 0 + 4 + 110 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27576298726596 + 12965011684416 = 5251314^2 + 3600696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4249762 + ... + 9957062.

Almost surely, 240541310411012 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 40541310411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53708000448102).

40541310411012 is an abundant number, since it is smaller than the sum of its proper divisors (66874690485192).

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

40541310411012 is a wasteful number, since it uses less digits than its factorization.

40541310411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707730 (or 5707702 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 40541310411012 its reverse (21011401314504), we get a palindrome (61552711725516).

The spelling of 40541310411012 in words is "forty trillion, five hundred forty-one billion, three hundred ten million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 373 414 529 746 828 1058 1119 1492 1587 2116 2238 3174 3357 4476 4761 6348 6714 8579 9522 13428 17158 19044 25737 34316 51474 77211 102948 154422 197317 308844 394634 591951 789268 1183902 1775853 2367804 3551706 5707301 7103412 11414602 17121903 22829204 34243806 51365709 68487612 102731418 131267923 205462836 262535846 393803769 525071692 787607538 1181411307 1575215076 2128823273 2362822614 3019162229 4257646546 4725645228 6038324458 6386469819 8515293092 9057486687 12076648916 12772939638 18114973374 19159409457 25545879276 27172460061 36229946748 38318818914 48962935279 54344920122 76637637828 97925870558 108689840244 146888805837 195851741116 293777611674 440666417511 587555223348 881332835022 1126147511417 1762665670044 2252295022834 3378442534251 4504590045668 6756885068502 10135327602753 13513770137004 20270655205506 40541310411012