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242325322500 = 2235447236841
BaseRepresentation
bin1110000110101110110…
…1101111101100000100
3212011111001211211210110
43201223231233230010
512432240240310000
6303153412353020
723336022153462
oct3415355575404
9764431754713
10242325322500
1193851366478
123ab6a315770
1319b0b0717c1
14ba2b42d832
156484180850
hex386bb6fb04

242325322500 has 120 divisors (see below), whose sum is σ = 706808923744. Its totient is φ = 64596960000.

The previous prime is 242325322493. The next prime is 242325322549. The reversal of 242325322500 is 5223523242.

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 39 ways as a sum of consecutive naturals, for example, 35419080 + ... + 35425920.

Almost surely, 2242325322500 is an apocalyptic number.

242325322500 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 242325322500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353404461872).

242325322500 is an abundant number, since it is smaller than the sum of its proper divisors (464483601244).

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

242325322500 is a wasteful number, since it uses less digits than its factorization.

242325322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11591 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 242325322500 its reverse (5223523242), we get a palindrome (247548845742).

The spelling of 242325322500 in words is "two hundred forty-two billion, three hundred twenty-five million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 4723 6841 7500 9446 13682 14169 18892 20523 23615 27364 28338 34205 41046 47230 56676 68410 70845 82092 94460 102615 118075 136820 141690 171025 205230 236150 283380 342050 354225 410460 472300 513075 590375 684100 708450 855125 1026150 1180750 1416900 1710250 1771125 2052300 2361500 2565375 2951875 3420500 3542250 4275625 5130750 5903750 7084500 8551250 8855625 10261500 11807500 12826875 17102500 17711250 25653750 32310043 35422500 51307500 64620086 96930129 129240172 161550215 193860258 323100430 387720516 484650645 646200860 807751075 969301290 1615502150 1938602580 2423253225 3231004300 4038755375 4846506450 8077510750 9693012900 12116266125 16155021500 20193776875 24232532250 40387553750 48465064500 60581330625 80775107500 121162661250 242325322500