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242230124440 = 23537857190979
BaseRepresentation
bin1110000110011000001…
…0100101111110011000
3212011020102201021121101
43201212002211332120
512432041402440230
6303140132121144
723333455041223
oct3414602457630
9764212637541
10242230124440
1193802654797
123ab424661b4
1319ac441c8a5
14ba1c92c5ba
15647ab28aca
hex38660a5f98

242230124440 has 64 divisors (see below), whose sum is σ = 560404072800. Its totient is φ = 94162848768.

The previous prime is 242230124387. The next prime is 242230124483. The reversal of 242230124440 is 44421032242.

It is a junction number, because it is equal to n+sod(n) for n = 242230124399 and 242230124408.

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, 1172871 + ... + 1363849.

Almost surely, 2242230124440 is an apocalyptic number.

242230124440 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 242230124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280202036400).

242230124440 is an abundant number, since it is smaller than the sum of its proper divisors (318173948360).

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

242230124440 is a wasteful number, since it uses less digits than its factorization.

242230124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191884 (or 191880 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242230124440 its reverse (44421032242), we get a palindrome (286651156682).

The spelling of 242230124440 in words is "two hundred forty-two billion, two hundred thirty million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 857 1480 1714 3428 4285 6856 8570 17140 31709 34280 63418 126836 158545 190979 253672 317090 381958 634180 763916 954895 1268360 1527832 1909790 3819580 7066223 7639160 14132446 28264892 35331115 56529784 70662230 141324460 163669003 282648920 327338006 654676012 818345015 1309352024 1636690030 3273380060 6055753111 6546760120 12111506222 24223012444 30278765555 48446024888 60557531110 121115062220 242230124440