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234664410120 = 233572312146191
BaseRepresentation
bin1101101010001100010…
…1101011110000001000
3211102201011111011122220
43122203011223300020
512321043042110440
6255445304414040
722645126401120
oct3324305536010
9742634434586
10234664410120
119057aa3a628
1239590777320
1319189b6395a
14b501bd1c80
1561868158d0
hex36a316bc08

234664410120 has 128 divisors (see below), whose sum is σ = 839544791040. Its totient is φ = 51305506560.

The previous prime is 234664410073. The next prime is 234664410133. The reversal of 234664410120 is 21014466432.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6053776 + ... + 6092415.

It is an arithmetic number, because the mean of its divisors is an integer number (6558943680).

Almost surely, 2234664410120 is an apocalyptic number.

234664410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234664410120 is an abundant number, since it is smaller than the sum of its proper divisors (604880380920).

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

234664410120 is a wasteful number, since it uses less digits than its factorization.

234664410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146235 (or 12146231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 234664410120 its reverse (21014466432), we get a palindrome (255678876552).

The spelling of 234664410120 in words is "two hundred thirty-four billion, six hundred sixty-four million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 12146191 24292382 36438573 48584764 60730955 72877146 85023337 97169528 121461910 145754292 170046674 182192865 242923820 255070011 279362393 291508584 340093348 364385730 425116685 485847640 510140022 558724786 680186696 728771460 838087179 850233370 1020280044 1117449572 1275350055 1396811965 1457542920 1676174358 1700466740 1955536751 2040560088 2234899144 2550700110 2793623930 3352348716 3400933480 3911073502 4190435895 5101400220 5587247860 5866610253 6704697432 7822147004 8380871790 9777683755 10202800440 11174495720 11733220506 15644294008 16761743580 19555367510 23466441012 29333051265 33523487160 39110735020 46932882024 58666102530 78221470040 117332205060 234664410120