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242311250640 = 24353727287303
BaseRepresentation
bin1110000110101011100…
…0000100001011010000
3212011110002100220211110
43201222320010023100
512432223140010030
6303152151013320
723335461434604
oct3415270041320
9764402326743
10242311250640
1193844425038
123ab6566a240
1319b08185764
14ba29609504
156482d011b0
hex386ae042d0

242311250640 has 80 divisors (see below), whose sum is σ = 771466658688. Its totient is φ = 62869943808.

The previous prime is 242311250627. The next prime is 242311250647. The reversal of 242311250640 is 46052113242.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 242311250598 and 242311250607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242311250647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13634772 + ... + 13652531.

Almost surely, 2242311250640 is an apocalyptic number.

242311250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242311250640 is an abundant number, since it is smaller than the sum of its proper divisors (529155408048).

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

242311250640 is a wasteful number, since it uses less digits than its factorization.

242311250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287356 (or 27287350 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 242311250640 its reverse (46052113242), we get a palindrome (288363363882).

The spelling of 242311250640 in words is "two hundred forty-two billion, three hundred eleven million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 27287303 54574606 81861909 109149212 136436515 163723818 218298424 272873030 327447636 409309545 436596848 545746060 654895272 818619090 1009630211 1091492120 1309790544 1637238180 2019260422 2182984240 3028890633 3274476360 4038520844 5048151055 6057781266 6548952720 8077041688 10096302110 12115562532 15144453165 16154083376 20192604220 24231125064 30288906330 40385208440 48462250128 60577812660 80770416880 121155625320 242311250640