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242045213355040 = 2552365773155803
BaseRepresentation
bin110111000010001110001010…
…111101100010110000100000
31011202000022000002022100000011
4313002032022331202300200
5223211132044104330130
62214442011433534304
7101661122012144134
oct6702161275426040
91152008002270004
10242045213355040
1170139886919027
1223191b98274394
13a5099c5280b14
1443ab09d6b93c4
151ceb2412bd52a
hexdc238af62c20

242045213355040 has 48 divisors (see below), whose sum is σ = 596694069453888. Its totient is φ = 92608603369216.

The previous prime is 242045213354999. The next prime is 242045213355091. The reversal of 242045213355040 is 40553312540242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 242045213354984 and 242045213355002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32886574222 + ... + 32886581581.

It is an arithmetic number, because the mean of its divisors is an integer number (12431126446956).

Almost surely, 2242045213355040 is an apocalyptic number.

242045213355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242045213355040 is an abundant number, since it is smaller than the sum of its proper divisors (354648856098848).

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

242045213355040 is a wasteful number, since it uses less digits than its factorization.

242045213355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65773155841 (or 65773155833 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 242045213355040 its reverse (40553312540242), we get a palindrome (282598525895282).

The spelling of 242045213355040 in words is "two hundred forty-two trillion, forty-five billion, two hundred thirteen million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 65773155803 131546311606 263092623212 328865779015 526185246424 657731558030 1052370492848 1315463116060 1512782583469 2104740985696 2630926232120 3025565166938 5261852464240 6051130333876 7563912917345 10523704928480 12102260667752 15127825834690 24204521335504 30255651669380 48409042671008 60511303338760 121022606677520 242045213355040