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234028303820432 = 241121131069755649
BaseRepresentation
bin110101001101100011110101…
…111010101010011010010000
31010200121212221212122120102022
4311031203311322222122100
5221133304431234223212
62145423041335511012
7100202662351355102
oct6515436572523220
91120555855576368
10234028303820432
1168628934446200
12222b8305528468
13a077a0b34c2a4
1441b105d389572
151c0c92eaa0772
hexd4d8f5eaa690

234028303820432 has 60 divisors (see below), whose sum is σ = 502808690124300. Its totient is φ = 105435116666880.

The previous prime is 234028303820419. The next prime is 234028303820483.

234028303820432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 15404400424336 + 218623903396096 = 3924844^2 + 14785936^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534659057 + ... + 535096592.

It is an arithmetic number, because the mean of its divisors is an integer number (8380144835405).

Almost surely, 2234028303820432 is an apocalyptic number.

234028303820432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234028303820432 is an abundant number, since it is smaller than the sum of its proper divisors (268780386303868).

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

234028303820432 is a wasteful number, since it uses less digits than its factorization.

234028303820432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069755792 (or 1069755775 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 234028303820432 in words is "two hundred thirty-four trillion, twenty-eight billion, three hundred three million, eight hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 176 226 242 452 484 904 968 1243 1808 1936 2486 4972 9944 13673 19888 27346 54692 109384 218768 1069755649 2139511298 4279022596 8558045192 11767312139 17116090384 23534624278 47069248556 94138497112 120882388337 129440433529 188276994224 241764776674 258880867058 483529553348 517761734116 967059106696 1035523468232 1329706271707 1934118213392 2071046936464 2659412543414 5318825086828 10637650173656 14626768988777 21275300347312 29253537977554 58507075955108 117014151910216 234028303820432