Search a number
-
+
234143240040 = 233251531424819
BaseRepresentation
bin1101101000010000000…
…1100100111101101000
3211101100211210222201100
43122010001210331220
512314011132140130
6255321450121400
722626200462613
oct3320401447550
9741324728640
10234143240040
1190332833856
1239466120260
1319105ba89a8
14b4928c917a
156155bb9c60
hex3684064f68

234143240040 has 96 divisors (see below), whose sum is σ = 761464360800. Its totient is φ = 62397267840.

The previous prime is 234143240011. The next prime is 234143240059. The reversal of 234143240040 is 40042341432.

It is a happy number.

234143240040 is a `hidden beast` number, since 2 + 3 + 414 + 3 + 240 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 234143239986 and 234143240013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338751 + ... + 763569.

It is an arithmetic number, because the mean of its divisors is an integer number (7931920425).

Almost surely, 2234143240040 is an apocalyptic number.

234143240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234143240040 is an abundant number, since it is smaller than the sum of its proper divisors (527321120760).

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

234143240040 is a wasteful number, since it uses less digits than its factorization.

234143240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426367 (or 426360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 234143240040 its reverse (40042341432), we get a palindrome (274185581472).

The spelling of 234143240040 in words is "two hundred thirty-four billion, one hundred forty-three million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1531 3062 4593 6124 7655 9186 12248 13779 15310 18372 22965 27558 30620 36744 45930 55116 61240 68895 91860 110232 137790 183720 275580 424819 551160 849638 1274457 1699276 2124095 2548914 3398552 3823371 4248190 5097828 6372285 7646742 8496380 10195656 12744570 15293484 16992760 19116855 25489140 30586968 38233710 50978280 76467420 152934840 650397889 1300795778 1951193667 2601591556 3251989445 3902387334 5203183112 5853581001 6503978890 7804774668 9755968335 11707162002 13007957780 15609549336 19511936670 23414324004 26015915560 29267905005 39023873340 46828648008 58535810010 78047746680 117071620020 234143240040