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242431130640 = 24352937941407
BaseRepresentation
bin1110000111001000000…
…1010111110000010000
3212011202102221110021110
43201302001113300100
512432444332140030
6303212112253320
723341445416146
oct3416201276020
9764672843243
10242431130640
11938a6064716
123ab99841240
1319b26c69b7a
14ba3b4d3596
15648d5d11b0
hex3872057c10

242431130640 has 160 divisors (see below), whose sum is σ = 798464609280. Its totient is φ = 60731983872.

The previous prime is 242431130633. The next prime is 242431130651. The reversal of 242431130640 is 46031134242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242431130598 and 242431130607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213184 + ... + 728223.

It is an arithmetic number, because the mean of its divisors is an integer number (4990403808).

Almost surely, 2242431130640 is an apocalyptic number.

242431130640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431130640 is an abundant number, since it is smaller than the sum of its proper divisors (556033478640).

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

242431130640 is a wasteful number, since it uses less digits than its factorization.

242431130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941489 (or 941483 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 242431130640 its reverse (46031134242), we get a palindrome (288462264882).

The spelling of 242431130640 in words is "two hundred forty-two billion, four hundred thirty-one million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 37 40 48 58 60 74 80 87 111 116 120 145 148 174 185 222 232 240 290 296 348 370 435 444 464 555 580 592 696 740 870 888 1073 1110 1160 1392 1480 1740 1776 2146 2220 2320 2960 3219 3480 4292 4440 5365 6438 6960 8584 8880 10730 12876 16095 17168 21460 25752 32190 42920 51504 64380 85840 128760 257520 941407 1882814 2824221 3765628 4707035 5648442 7531256 9414070 11296884 14121105 15062512 18828140 22593768 27300803 28242210 34832059 37656280 45187536 54601606 56484420 69664118 75312560 81902409 104496177 109203212 112968840 136504015 139328236 163804818 174160295 208992354 218406424 225937680 273008030 278656472 327609636 348320590 409512045 417984708 436812848 522480885 546016060 557312944 655219272 696641180 819024090 835969416 1010129711 1044961770 1092032120 1310438544 1393282360 1638048180 1671938832 2020259422 2089923540 2184064240 2786564720 3030389133 3276096360 4040518844 4179847080 5050648555 6060778266 6552192720 8081037688 8359694160 10101297110 12121556532 15151945665 16162075376 20202594220 24243113064 30303891330 40405188440 48486226128 60607782660 80810376880 121215565320 242431130640