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234101404041032 = 231131431391150909
BaseRepresentation
bin110101001110100111111011…
…000001110111111101001000
31010200212212122100121112110002
4311032213323001313331020
5221141004133413303112
62145520411135142132
7100211161012111553
oct6516477301677510
91120785570545402
10234101404041032
116865693662a960
122230a506674948
13a08188ab6b1a8
1441b47d5a1569a
151c0e7ac4501c2
hexd4e9fb077f48

234101404041032 has 128 divisors (see below), whose sum is σ = 495573612134400. Its totient is φ = 102709944480000.

The previous prime is 234101404041013. The next prime is 234101404041049. The reversal of 234101404041032 is 230140404101432.

It is a junction number, because it is equal to n+sod(n) for n = 234101404040986 and 234101404041004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4598403194 + ... + 4598454102.

It is an arithmetic number, because the mean of its divisors is an integer number (3871668844800).

Almost surely, 2234101404041032 is an apocalyptic number.

234101404041032 is a gapful number since it is divisible by the number (22) 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 234101404041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247786806067200).

234101404041032 is an abundant number, since it is smaller than the sum of its proper divisors (261472208093368).

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

234101404041032 is a wasteful number, since it uses less digits than its factorization.

234101404041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55299 (or 55295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 234101404041032 its reverse (230140404101432), we get a palindrome (464241808142464).

The spelling of 234101404041032 in words is "two hundred thirty-four trillion, one hundred one billion, four hundred four million, forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 431 682 862 1364 1724 2728 3448 3911 4741 7822 9482 13361 15644 18964 26722 31288 37928 43021 50909 53444 86042 101818 106888 121241 146971 172084 203636 242482 293942 344168 407272 484964 559999 587884 969928 1119998 1175768 1333651 1578179 1685641 2239996 2667302 3156358 3371282 4479992 5334604 6312716 6742564 10669208 12625432 13485128 17359969 18542051 21941779 34719938 37084102 43883558 52254871 69439876 74168204 87767116 104509742 138879752 148336408 175534232 199105099 209019484 241359569 398210198 418038968 482719138 574803581 680195149 796420396 965438276 1149607162 1360390298 1592840792 1930876552 2190156089 2299214324 2720780596 4380312178 4598428648 5441561192 6172258069 7482146639 8760624356 12344516138 14964293278 17521248712 24689032276 29928586556 49378064552 59857173112 67894838759 85814297669 135789677518 171628595338 271579355036 343257190676 543158710072 686514381352 943957274359 1887914548718 2660243227739 3775829097436 5320486455478 7551658194872 10640972910956 21281945821912 29262675505129 58525351010258 117050702020516 234101404041032