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234142320120 = 233510917900789
BaseRepresentation
bin1101101000001111111…
…0000100010111111000
3211101100210002020211020
43122003332010113320
512314010413220440
6255321414302440
722626156611622
oct3320376042770
9741323066736
10234142320120
1190332265695
1239465957a20
1319105946067
14b492729c12
156155a873d0
hex3683f845f8

234142320120 has 64 divisors (see below), whose sum is σ = 708871284000. Its totient is φ = 61865123328.

The previous prime is 234142320109. The next prime is 234142320121. The reversal of 234142320120 is 21023241432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234142320121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8937315 + ... + 8963474.

Almost surely, 2234142320120 is an apocalyptic number.

234142320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234142320120 is an abundant number, since it is smaller than the sum of its proper divisors (474728963880).

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

234142320120 is a wasteful number, since it uses less digits than its factorization.

234142320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17900912 (or 17900908 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234142320120 its reverse (21023241432), we get a palindrome (255165561552).

The spelling of 234142320120 in words is "two hundred thirty-four billion, one hundred forty-two million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 17900789 35801578 53702367 71603156 89503945 107404734 143206312 179007890 214809468 268511835 358015780 429618936 537023670 716031560 1074047340 1951186001 2148094680 3902372002 5853558003 7804744004 9755930005 11707116006 15609488008 19511860010 23414232012 29267790015 39023720020 46828464024 58535580030 78047440040 117071160060 234142320120