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42221855232 = 293410092
BaseRepresentation
bin100111010100100111…
…100110001000000000
311000222111212110220000
4213110213212020000
51142432243331412
631221344520000
73023203563564
oct472447461000
9130874773800
1042221855232
11169a7155837
128224020000
133c9b4968bb
1420876d76a4
151171abe4dc
hex9d49e6200

42221855232 has 150 divisors (see below), whose sum is σ = 126146141253. Its totient is φ = 14060003328.

The previous prime is 42221855219. The next prime is 42221855237. The reversal of 42221855232 is 23255812224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42221855232 is a `hidden beast` number, since 42 + 22 + 18 + 552 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40584519936 + 1637335296 = 201456^2 + 40464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145296.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42221855237) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41844744 + ... + 41845752.

Almost surely, 242221855232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221855232

42221855232 is an abundant number, since it is smaller than the sum of its proper divisors (83924286021).

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

42221855232 is an frugal number, since it uses more digits than its factorization.

42221855232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1014 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 42221855232 in words is "forty-two billion, two hundred twenty-one million, eight hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1009 1152 1296 1536 1728 2018 2304 2592 3027 3456 4036 4608 5184 6054 6912 8072 9081 10368 12108 13824 16144 18162 20736 24216 27243 32288 36324 41472 48432 54486 64576 72648 81729 96864 108972 129152 145296 163458 193728 217944 258304 290592 326916 387456 435888 516608 581184 653832 774912 871776 1018081 1162368 1307664 1549824 1743552 2036162 2324736 2615328 3054243 3487104 4072324 4649472 5230656 6108486 6974208 8144648 9162729 10461312 12216972 13948416 16289296 18325458 20922624 24433944 27488187 32578592 36650916 41845248 48867888 54976374 65157184 73301832 82464561 97735776 109952748 130314368 146603664 164929122 195471552 219905496 260628736 293207328 329858244 390943104 439810992 521257472 586414656 659716488 781886208 879621984 1172829312 1319432976 1563772416 1759243968 2345658624 2638865952 3518487936 4691317248 5277731904 7036975872 10555463808 14073951744 21110927616 42221855232