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110034414423192 = 23378316889467237
BaseRepresentation
bin11001000001001101100010…
…001011110100110010011000
3112102121012001112100121200110
4121001031202023310302120
5103410300440043020232
61030005040120204320
732114503236345060
oct3101154213646230
9472535045317613
10110034414423192
1132073373394756
12104114a69096a0
13495227c0a948c
141d259a077a3a0
15cac3aab73acc
hex6413622f4c98

110034414423192 has 128 divisors (see below), whose sum is σ = 318191320742400. Its totient is φ = 31057722651648.

The previous prime is 110034414423191. The next prime is 110034414423251. The reversal of 110034414423192 is 291324414430011.

It is a self number, because there is not a number n which added to its sum of digits gives 110034414423192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110034414423191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235266598 + ... + 235733834.

It is an arithmetic number, because the mean of its divisors is an integer number (2485869693300).

Almost surely, 2110034414423192 is an apocalyptic number.

110034414423192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110034414423192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159095660371200).

110034414423192 is an abundant number, since it is smaller than the sum of its proper divisors (208156906319208).

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

110034414423192 is a wasteful number, since it uses less digits than its factorization.

110034414423192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484225 (or 484221 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 110034414423192 in words is "one hundred ten trillion, thirty-four billion, four hundred fourteen million, four hundred twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 16889 33778 50667 67556 101334 118223 135112 202668 236446 354669 405336 467237 472892 709338 934474 945784 1401711 1401787 1418676 1868948 2803422 2803574 2837352 3270659 3737896 4205361 5606844 5607148 6541318 8410722 9811977 9812509 11213688 11214296 13082636 16821444 19623954 19625018 26165272 29437527 33642888 38780671 39247908 39250036 58875054 77561342 78495816 78500072 116342013 117750108 155122684 232684026 235500216 271464697 310245368 465368052 542929394 814394091 930736104 1085858788 1628788182 2171717576 3257576364 6515152728 7891165693 15782331386 23673497079 31564662772 47346994158 55238159851 63129325544 94693988316 110476319702 165714479553 189387976632 220952639404 331428959106 441905278808 654966752519 662857918212 1309933505038 1325715836424 1964900257557 2619867010076 3929800515114 4584767267633 5239734020152 7859601030228 9169534535266 13754301802899 15719202060456 18339069070532 27508603605798 36678138141064 55017207211596 110034414423192