Search a number
-
+
242378160810580 = 2251916323991631143
BaseRepresentation
bin110111000111000100010000…
…001011010010101001010100
31011210012010101202200112000101
4313013010100023102221110
5223232110433131414310
62215254553453223444
7102024146526625264
oct6707042013225124
91153163352615011
10242378160810580
1170258000aa0323
1223226617791b84
13a532215cbc742
1443bd2464b17a4
151d04c2b21b43a
hexdc71102d2a54

242378160810580 has 96 divisors (see below), whose sum is σ = 539295353856000. Its totient is φ = 91246970821248.

The previous prime is 242378160810547. The next prime is 242378160810581. The reversal of 242378160810580 is 85018061873242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242378160810581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147778489 + ... + 149409631.

It is an arithmetic number, because the mean of its divisors is an integer number (5617659936000).

Almost surely, 2242378160810580 is an apocalyptic number.

242378160810580 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 242378160810580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269647676928000).

242378160810580 is an abundant number, since it is smaller than the sum of its proper divisors (296917193045420).

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

242378160810580 is a wasteful number, since it uses less digits than its factorization.

242378160810580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633733 (or 1633731 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 242378160810580 in words is "two hundred forty-two trillion, three hundred seventy-eight billion, one hundred sixty million, eight hundred ten thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 163 190 326 380 652 815 1630 2399 3097 3260 4798 6194 9596 11995 12388 15485 23990 30970 45581 47980 61940 91162 182324 227905 391037 455810 782074 911620 1564148 1631143 1955185 3262286 3910370 6524572 7429703 7820740 8155715 14859406 16311430 29718812 30991717 32622860 37148515 61983434 74297030 123966868 148594060 154958585 265876309 309917170 531752618 619834340 1063505236 1329381545 2658763090 3913112057 5051649871 5317526180 7826224114 10103299742 15652448228 19565560285 20206599484 25258249355 39131120570 50516498710 74349129083 78262241140 101032997420 148698258166 297396516332 371745645415 637837265291 743491290830 1275674530582 1486982581660 2551349061164 3189186326455 6378372652910 12118908040529 12756745305820 24237816081058 48475632162116 60594540202645 121189080405290 242378160810580