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234132014240 = 2551818084669
BaseRepresentation
bin1101101000001101011…
…0110000010010100000
3211101100001200122210222
43122003112300102200
512314000243423430
6255320405342212
722626003166415
oct3320326602240
9741301618728
10234132014240
1190327466733
1239462407968
13191037781c7
14b49120610c
156154bed9e5
hex36835b04a0

234132014240 has 48 divisors (see below), whose sum is σ = 556192957320. Its totient is φ = 93135375360.

The previous prime is 234132014231. The next prime is 234132014243. The reversal of 234132014240 is 42410231432.

234132014240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 184600841104 + 49531173136 = 429652^2 + 222556^2 .

It is not an unprimeable number, because it can be changed into a prime (234132014243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4013375 + ... + 4071294.

Almost surely, 2234132014240 is an apocalyptic number.

234132014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234132014240 is an abundant number, since it is smaller than the sum of its proper divisors (322060943080).

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

234132014240 is a wasteful number, since it uses less digits than its factorization.

234132014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084865 (or 8084857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 234132014240 its reverse (42410231432), we get a palindrome (276542245672).

The spelling of 234132014240 in words is "two hundred thirty-four billion, one hundred thirty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 14480 28960 8084669 16169338 32338676 40423345 64677352 80846690 129354704 161693380 258709408 323386760 646773520 1293547040 1463325089 2926650178 5853300356 7316625445 11706600712 14633250890 23413201424 29266501780 46826402848 58533003560 117066007120 234132014240