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242432022450 = 235261123721419
BaseRepresentation
bin1110000111001000010…
…0110001011110110010
3212011202111121202121110
43201302010301132302
512433000044204300
6303212143334150
723341456122162
oct3416204613662
9764674552543
10242432022450
11938a6613752
123ab99bb1356
1319b271bca77
14ba3b6865a2
15648d70a550
hex38721317b2

242432022450 has 96 divisors (see below), whose sum is σ = 611610229440. Its totient is φ = 63534355200.

The previous prime is 242432022403. The next prime is 242432022493. The reversal of 242432022450 is 54220234242.

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

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, 11307841 + ... + 11329259.

It is an arithmetic number, because the mean of its divisors is an integer number (6370939890).

Almost surely, 2242432022450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242432022450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305805114720).

242432022450 is an abundant number, since it is smaller than the sum of its proper divisors (369178206990).

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

242432022450 is a wasteful number, since it uses less digits than its factorization.

242432022450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 242432022450 its reverse (54220234242), we get a palindrome (296652256692).

The spelling of 242432022450 in words is "two hundred forty-two billion, four hundred thirty-two million, twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1237 1525 1830 2474 3050 3711 4575 6185 7422 9150 12370 18555 21419 30925 37110 42838 61850 64257 75457 92775 107095 128514 150914 185550 214190 226371 321285 377285 452742 535475 642570 754570 1070950 1131855 1306559 1606425 1886425 2263710 2613118 3212850 3772850 3919677 5659275 6532795 7839354 11318550 13065590 19598385 26495303 32663975 39196770 52990606 65327950 79485909 97991925 132476515 158971818 195983850 264953030 397429545 662382575 794859090 1324765150 1616213483 1987147725 3232426966 3974295450 4848640449 8081067415 9697280898 16162134830 24243202245 40405337075 48486404490 80810674150 121216011225 242432022450