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42454225304000 = 265315193349291
BaseRepresentation
bin10011010011100101001010…
…00001001011100111000000
312120022120202221211002022222
421221302211001023213000
521031032223134212000
6230143111333550212
711641134164656106
oct1151624501134700
9176276687732288
1042454225304000
111258881044a784
124917ab61a5368
131a8c554705263
14a6ab1ca9dc76
154d94e9db4a85
hex269ca504b9c0

42454225304000 has 112 divisors (see below), whose sum is σ = 105145110142176. Its totient is φ = 16980523776000.

The previous prime is 42454225303999. The next prime is 42454225304069. The reversal of 42454225304000 is 40352245424.

It is a super-2 number, since 2×424542253040002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121369355 + ... + 121718645.

Almost surely, 242454225304000 is an apocalyptic number.

42454225304000 is a gapful number since it is divisible by the number (40) 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 42454225304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572555071088).

42454225304000 is an abundant number, since it is smaller than the sum of its proper divisors (62690884838176).

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

42454225304000 is a wasteful number, since it uses less digits than its factorization.

42454225304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364511 (or 364491 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 42454225304000 its reverse (40352245424), we get a palindrome (42494577549424).

The spelling of 42454225304000 in words is "forty-two trillion, four hundred fifty-four billion, two hundred twenty-five million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 15193 30386 60772 75965 121544 151930 243088 303860 349291 379825 486176 607720 698582 759650 972352 1215440 1397164 1519300 1746455 1899125 2430880 2794328 3038600 3492910 3798250 4861760 5588656 6077200 6985820 7596500 8732275 11177312 12154400 13971640 15193000 17464550 22354624 24308800 27943280 30386000 34929100 43661375 55886560 60772000 69858200 87322750 111773120 121544000 139716400 174645500 279432800 349291000 558865600 698582000 1397164000 2794328000 5306778163 10613556326 21227112652 26533890815 42454225304 53067781630 84908450608 106135563260 132669454075 169816901216 212271126520 265338908150 339633802432 424542253040 530677816300 663347270375 849084506080 1061355632600 1326694540750 1698169012160 2122711265200 2653389081500 4245422530400 5306778163000 8490845060800 10613556326000 21227112652000 42454225304000