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111140324404434 = 232134332761139727
BaseRepresentation
bin11001010001010011011111…
…100011100110110011010010
3112120111220121022002112120100
4121101103133203212303102
5104031410341021420214
61032213054333153230
732260423563156453
oct3121233743466322
9476456538075510
10111140324404434
113245a38a782066
121056b8a592b816
134a026453c2b70
141d63312add12a
15ccb0353ca309
hex6514df8e6cd2

111140324404434 has 96 divisors (see below), whose sum is σ = 259942289128704. Its totient is φ = 34115951485440.

The previous prime is 111140324404367. The next prime is 111140324404559. The reversal of 111140324404434 is 434404423041111.

111140324404434 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 403 + 244 + 0 + 4 + 4 + 3 + 4 = 666.

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, 2797581879 + ... + 2797621605.

It is an arithmetic number, because the mean of its divisors is an integer number (2707732178424).

Almost surely, 2111140324404434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111140324404434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129971144564352).

111140324404434 is an abundant number, since it is smaller than the sum of its proper divisors (148801964724270).

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

111140324404434 is a wasteful number, since it uses less digits than its factorization.

111140324404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67792 (or 67789 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 111140324404434 its reverse (434404423041111), we get a palindrome (545544747445545).

The spelling of 111140324404434 in words is "one hundred eleven trillion, one hundred forty billion, three hundred twenty-four million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 433 866 1299 2598 3897 5629 7794 11258 16887 27611 33774 39727 50661 55222 79454 82833 101322 119181 165666 238362 248499 357543 358943 496998 516451 715086 717886 1032902 1076829 1549353 2153658 3098706 3230487 4648059 6460974 9296118 11955563 17201791 23911126 34403582 35866689 51605373 71733378 103210746 107600067 154816119 155422319 215200134 223623283 309632238 310844638 447246566 466266957 670869849 932533914 1096902197 1341739698 1398800871 2012609547 2193804394 2797601742 3290706591 4025219094 6581413182 9872119773 14259728561 19744239546 28519457122 42779185683 85558371366 128337557049 256675114098 474958651301 949917302602 1424875953903 2849751907806 4274627861709 6174462466913 8549255723418 12348924933826 18523387400739 37046774801478 55570162202217 111140324404434