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234121944930984 = 233411587313717837
BaseRepresentation
bin110101001110111011000011…
…010111001001101010101000
31010200221211122212220212020000
4311032323003113021222220
5221141323220400242414
62145534045305503000
7100212516022565235
oct6516730327115250
91120854585825200
10234121944930984
1168664617404570
12223124997a1a60
13a0837b2616846
1441b57c3a9878c
151c100b090eb09
hexd4eec35c9aa8

234121944930984 has 320 divisors, whose sum is σ = 716859921476160. Its totient is φ = 70798635048960.

The previous prime is 234121944930967. The next prime is 234121944930997. The reversal of 234121944930984 is 489039449121432.

234121944930984 is a `hidden beast` number, since 2 + 3 + 4 + 121 + 94 + 49 + 309 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13125625714 + ... + 13125643550.

It is an arithmetic number, because the mean of its divisors is an integer number (2240187254613).

Almost surely, 2234121944930984 is an apocalyptic number.

234121944930984 is a gapful number since it is divisible by the number (24) 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 234121944930984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358429960738080).

234121944930984 is an abundant number, since it is smaller than the sum of its proper divisors (482737976545176).

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

234121944930984 is a wasteful number, since it uses less digits than its factorization.

234121944930984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21590 (or 21577 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 234121944930984 in words is "two hundred thirty-four trillion, one hundred twenty-one billion, nine hundred forty-four million, nine hundred thirty thousand, nine hundred eighty-four".