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234132411420 = 2232541173183383
BaseRepresentation
bin1101101000001101100…
…0010001010000011100
3211101100002102211122100
43122003120101100130
512314000344131140
6255320422045100
722626006442365
oct3320330212034
9741302384570
10234132411420
1190327708086
1239462579790
1319103886c1b
14b4912aab6c
156154c7b530
hex368361141c

234132411420 has 144 divisors (see below), whose sum is σ = 731732968512. Its totient is φ = 60560071680.

The previous prime is 234132411397. The next prime is 234132411431. The reversal of 234132411420 is 24114231432.

234132411420 is a `hidden beast` number, since 2 + 3 + 413 + 241 + 1 + 4 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185049 + ... + 1368431.

It is an arithmetic number, because the mean of its divisors is an integer number (5081478948).

Almost surely, 2234132411420 is an apocalyptic number.

234132411420 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 234132411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365866484256).

234132411420 is an abundant number, since it is smaller than the sum of its proper divisors (497600557092).

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

234132411420 is a wasteful number, since it uses less digits than its factorization.

234132411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183612 (or 183607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234132411420 its reverse (24114231432), we get a palindrome (258246642852).

The spelling of 234132411420 in words is "two hundred thirty-four billion, one hundred thirty-two million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 173 180 205 246 346 369 410 492 519 615 692 738 820 865 1038 1230 1476 1557 1730 1845 2076 2460 2595 3114 3460 3690 5190 6228 7093 7380 7785 10380 14186 15570 21279 28372 31140 35465 42558 63837 70930 85116 106395 127674 141860 183383 212790 255348 319185 366766 425580 550149 638370 733532 916915 1100298 1276740 1650447 1833830 2200596 2750745 3300894 3667660 5501490 6601788 7518703 8252235 11002980 15037406 16504470 22556109 30074812 31725259 33008940 37593515 45112218 63450518 67668327 75187030 90224436 95175777 112780545 126901036 135336654 150374060 158626295 190351554 225561090 270673308 285527331 317252590 338341635 380703108 451122180 475878885 571054662 634505180 676683270 951757770 1142109324 1300735619 1353366540 1427636655 1903515540 2601471238 2855273310 3902206857 5202942476 5710546620 6503678095 7804413714 11706620571 13007356190 15608827428 19511034285 23413241142 26014712380 39022068570 46826482284 58533102855 78044137140 117066205710 234132411420