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234312423120 = 24325373872477
BaseRepresentation
bin1101101000111000011…
…0111101011011010000
3211101210122011101021100
43122032012331123100
512314332440014440
6255350332224400
722633323510006
oct3321606753320
9741718141240
10234312423120
119040a288586
12394b290b100
1319131c63219
14b4ab168a76
156165988230
hex368e1bd6d0

234312423120 has 120 divisors (see below), whose sum is σ = 789009774696. Its totient is φ = 62315725824.

The previous prime is 234312423119. The next prime is 234312423161. The reversal of 234312423120 is 21324213432.

234312423120 is a `hidden beast` number, since 2 + 34 + 312 + 4 + 2 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102917772864 + 131394650256 = 320808^2 + 362484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 167679 + ... + 704798.

Almost surely, 2234312423120 is an apocalyptic number.

234312423120 is a gapful number since it is divisible by the number (20) 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 234312423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394504887348).

234312423120 is an abundant number, since it is smaller than the sum of its proper divisors (554697351576).

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

234312423120 is a wasteful number, since it uses less digits than its factorization.

234312423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872869 (or 872860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234312423120 its reverse (21324213432), we get a palindrome (255636636552).

The spelling of 234312423120 in words is "two hundred thirty-four billion, three hundred twelve million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 373 720 746 1119 1492 1865 2238 2984 3357 3730 4476 5595 5968 6714 7460 8952 11190 13428 14920 16785 17904 22380 26856 29840 33570 44760 53712 67140 89520 134280 268560 872477 1744954 2617431 3489908 4362385 5234862 6979816 7852293 8724770 10469724 13087155 13959632 15704586 17449540 20939448 26174310 31409172 34899080 39261465 41878896 52348620 62818344 69798160 78522930 104697240 125636688 157045860 209394480 314091720 325433921 628183440 650867842 976301763 1301735684 1627169605 1952603526 2603471368 2928905289 3254339210 3905207052 4881508815 5206942736 5857810578 6508678420 7810414104 9763017630 11715621156 13017356840 14644526445 15620828208 19526035260 23431242312 26034713680 29289052890 39052070520 46862484624 58578105780 78104141040 117156211560 234312423120