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243142301440 = 2851767316603
BaseRepresentation
bin1110001001110001101…
…0010001011100000000
3212020121000010200012201
43202130122101130000
512440423412121230
6303410435202544
723365202314333
oct3423432213400
9766530120181
10243142301440
1194130543885
123b157a46454
1319c0b3ba9ac
14baa7b3861a
1564d0c5d5ca
hex389c691700

243142301440 has 144 divisors (see below), whose sum is σ = 617614206048. Its totient is φ = 91394408448.

The previous prime is 243142301411. The next prime is 243142301459. The reversal of 243142301440 is 44103241342.

It is a junction number, because it is equal to n+sod(n) for n = 243142301399 and 243142301408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14636179 + ... + 14652781.

It is an arithmetic number, because the mean of its divisors is an integer number (4288987542).

Almost surely, 2243142301440 is an apocalyptic number.

243142301440 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 243142301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308807103024).

243142301440 is an abundant number, since it is smaller than the sum of its proper divisors (374471904608).

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

243142301440 is a wasteful number, since it uses less digits than its factorization.

243142301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 17300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 243142301440 its reverse (44103241342), we get a palindrome (287245542782).

The spelling of 243142301440 in words is "two hundred forty-three billion, one hundred forty-two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 673 680 1088 1280 1346 1360 2176 2692 2720 3365 4352 5384 5440 6730 10768 10880 11441 13460 16603 21536 21760 22882 26920 33206 43072 45764 53840 57205 66412 83015 86144 91528 107680 114410 132824 166030 172288 183056 215360 228820 265648 282251 332060 366112 430720 457640 531296 564502 664120 732224 861440 915280 1062592 1129004 1328240 1411255 1464448 1830560 2125184 2258008 2656480 2822510 2928896 3661120 4250368 4516016 5312960 5645020 7322240 9032032 10625920 11173819 11290040 14644480 18064064 21251840 22347638 22580080 36128128 44695276 45160160 55869095 72256256 89390552 90320320 111738190 178781104 180640640 189954923 223476380 357562208 361281280 379909846 446952760 715124416 759819692 893905520 949774615 1430248832 1519639384 1787811040 1899549230 2860497664 3039278768 3575622080 3799098460 6078557536 7151244160 7598196920 12157115072 14302488320 15196393840 24314230144 30392787680 48628460288 60785575360 121571150720 243142301440