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13424443120040 = 23519776914471531
BaseRepresentation
bin1100001101011001111100…
…1010011101100110101000
31202112100211112010001101112
43003112133022131212220
53224421224414320130
644315034245405452
72553612133526141
oct303263712354650
952470745101345
1013424443120040
114306302191a47
1216098b6a09888
13764bc53510a4
14345a64610ac8
15184301e01495
hexc359f29d9a8

13424443120040 has 128 divisors (see below), whose sum is σ = 30438675590400. Its totient is φ = 5328402186240.

The previous prime is 13424443120031. The next prime is 13424443120051. The reversal of 13424443120040 is 4002134442431.

It is a junction number, because it is equal to n+sod(n) for n = 13424443119979 and 13424443120006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8768414075 + ... + 8768415605.

It is an arithmetic number, because the mean of its divisors is an integer number (237802153050).

Almost surely, 213424443120040 is an apocalyptic number.

13424443120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424443120040 is an abundant number, since it is smaller than the sum of its proper divisors (17014232470360).

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

13424443120040 is a wasteful number, since it uses less digits than its factorization.

13424443120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13424443120040 its reverse (4002134442431), we get a palindrome (17426577562471).

The spelling of 13424443120040 in words is "thirteen trillion, four hundred twenty-four billion, four hundred forty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 769 788 985 1447 1531 1538 1576 1970 2894 3062 3076 3845 3940 5788 6124 6152 7235 7655 7690 7880 11576 12248 14470 15310 15380 28940 30620 30760 57880 61240 151493 285059 301607 302986 570118 603214 605972 757465 1112743 1140236 1177339 1206428 1211944 1425295 1508035 1514930 2215357 2225486 2280472 2354678 2412856 2850590 3016070 3029860 4430714 4450972 4709356 5563715 5701180 5886695 6032140 6059720 8861428 8901944 9418712 11076785 11127430 11402360 11773390 12064280 17722856 22153570 22254860 23546780 44307140 44509720 47093560 88614280 219210371 231935783 436425329 438420742 463871566 872850658 876841484 927743132 1096051855 1159678915 1703609533 1745701316 1753682968 1855486264 2182126645 2192103710 2319357830 3407219066 3491402632 4364253290 4384207420 4638715660 6814438132 8518047665 8728506580 8768414840 9277431320 13628876264 17036095330 17457013160 34072190660 68144381320 335611078001 671222156002 1342444312004 1678055390005 2684888624008 3356110780010 6712221560020 13424443120040