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242419623381 = 321331374144059
BaseRepresentation
bin1110000111000101010…
…1011110010111010101
3212011201122021211021200
43201301111132113111
512432433410422011
6303211021503113
723341245541245
oct3416125362725
9764648254250
10242419623381
119389a615091
123ab95a11a99
1319b2476b240
14ba39b79b25
15648c5ab856
hex387155e5d5

242419623381 has 96 divisors (see below), whose sum is σ = 409542282240. Its totient is φ = 137038003200.

The previous prime is 242419623361. The next prime is 242419623449. The reversal of 242419623381 is 183326914242.

242419623381 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 19 + 623 + 3 + 8 + 1 = 666.

It is not a de Polignac number, because 242419623381 - 25 = 242419623349 is a prime.

It is a super-2 number, since 2×2424196233812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242419623361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5480130 + ... + 5524188.

It is an arithmetic number, because the mean of its divisors is an integer number (4266065440).

Almost surely, 2242419623381 is an apocalyptic number.

It is an amenable number.

242419623381 is a deficient number, since it is larger than the sum of its proper divisors (167122658859).

242419623381 is a wasteful number, since it uses less digits than its factorization.

242419623381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44187 (or 44184 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 242419623381 in words is "two hundred forty-two billion, four hundred nineteen million, six hundred twenty-three thousand, three hundred eighty-one".

Divisors: 1 3 9 13 31 37 39 41 93 111 117 123 279 333 369 403 481 533 1147 1209 1271 1443 1517 1599 3441 3627 3813 4329 4551 4797 10323 11439 13653 14911 16523 19721 44059 44733 47027 49569 59163 132177 134199 141081 148707 177489 396531 423243 572767 611351 1365829 1630183 1718301 1806419 1834053 4097487 4890549 5154903 5419257 5502159 12292461 14671647 16257771 17755777 21192379 23483447 50535673 53267331 55998989 63577137 66837503 70450341 151607019 159801993 167996967 190731411 200512509 211351023 454821057 503990901 601537527 656963749 727986857 868887539 1970891247 2071962593 2183960571 2606662617 5912673741 6215887779 6551881713 7819987851 18647663337 26935513709 80806541127 242419623381