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40102441124144 = 2473772823132887
BaseRepresentation
bin10010001111001000100111…
…10000100000000100110000
312020222202102001222022100112
421013210103300200010300
520224014244411433034
6221142450201040452
711306206606165160
oct1107442360400460
9166882361868315
1040102441124144
1111861393600943
1245b8156486128
13194b84aa61259
149c8d7b8225a0
154982534027ce
hex247913c20130

40102441124144 has 80 divisors (see below), whose sum is σ = 91200154149888. Its totient is φ = 16721897976576.

The previous prime is 40102441124117. The next prime is 40102441124267. The reversal of 40102441124144 is 44142114420104.

It is a super-3 number, since 3×401024411241443 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40102441124144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301712069 + ... + 301844955.

Almost surely, 240102441124144 is an apocalyptic number.

It is an amenable number.

40102441124144 is an abundant number, since it is smaller than the sum of its proper divisors (51097713025744).

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

40102441124144 is a wasteful number, since it uses less digits than its factorization.

40102441124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205762 (or 205756 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 40102441124144 its reverse (44142114420104), we get a palindrome (84244555544248).

The spelling of 40102441124144 in words is "forty trillion, one hundred two billion, four hundred forty-one million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 72823 132887 145646 265774 291292 509761 531548 582584 930209 1019522 1063096 1165168 1860418 2039044 2126192 2694451 3720836 4078088 4916819 5388902 7441672 8156176 9833638 10777804 14883344 18861157 19667276 21555608 34417733 37722314 39334552 43111216 68835466 75444628 78669104 137670932 150889256 275341864 301778512 550683728 9677230001 19354460002 38708920004 67740610007 77417840008 135481220014 154835680016 270962440028 358057510037 541924880056 716115020074 1083849760112 1432230040148 2506402570259 2864460080296 5012805140518 5728920160592 10025610281036 20051220562072 40102441124144