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234315430344120 = 23353752773745573
BaseRepresentation
bin110101010001101111001111…
…111111011011010110111000
31010201122100002012212020120110
4311101233033333123112320
5221203011000132002440
62150203004521424320
7100232505540504516
oct6521571777332670
91121570065766513
10234315430344120
1168729685925184
1222343a9763b0a0
13a098b09078598
1441c0cda8994b6
151c15136ea1080
hexd51bcffdb5b8

234315430344120 has 64 divisors (see below), whose sum is σ = 721944839452320. Its totient is φ = 60795354898944.

The previous prime is 234315430344119. The next prime is 234315430344133. The reversal of 234315430344120 is 21443034513432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26386868347 + ... + 26386877226.

Almost surely, 2234315430344120 is an apocalyptic number.

234315430344120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234315430344120 is an abundant number, since it is smaller than the sum of its proper divisors (487629409108200).

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

234315430344120 is a wasteful number, since it uses less digits than its factorization.

234315430344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52773745624 (or 52773745620 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 234315430344120 its reverse (21443034513432), we get a palindrome (255758464857552).

The spelling of 234315430344120 in words is "two hundred thirty-four trillion, three hundred fifteen billion, four hundred thirty million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 52773745573 105547491146 158321236719 211094982292 263868727865 316642473438 422189964584 527737455730 633284946876 791606183595 1055474911460 1266569893752 1583212367190 1952628586201 2110949822920 3166424734380 3905257172402 5857885758603 6332849468760 7810514344804 9763142931005 11715771517206 15621028689608 19526285862010 23431543034412 29289428793015 39052571724020 46863086068824 58578857586030 78105143448040 117157715172060 234315430344120