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42155244450 = 23352112258067
BaseRepresentation
bin100111010000101001…
…011111101110100010
311000210212112022002000
4213100221133232202
51142313220310300
631211005104430
73021434444214
oct472051375642
9130725468060
1042155244450
111697259a100
128205858116
133c8a743937
14207c9185b4
15116ad12c00
hex9d0a5fba2

42155244450 has 144 divisors (see below), whose sum is σ = 127681723680. Its totient is φ = 10219413600.

The previous prime is 42155244449. The next prime is 42155244457. The reversal of 42155244450 is 5444255124.

42155244450 is a `hidden beast` number, since 4 + 21 + 552 + 44 + 45 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42155244457) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 34317 + ... + 292383.

Almost surely, 242155244450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155244450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840861840).

42155244450 is an abundant number, since it is smaller than the sum of its proper divisors (85526479230).

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

42155244450 is a wasteful number, since it uses less digits than its factorization.

42155244450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258110 (or 258088 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 42155244450 its reverse (5444255124), we get a palindrome (47599499574).

The spelling of 42155244450 in words is "forty-two billion, one hundred fifty-five million, two hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 121 135 150 165 198 225 242 270 275 297 330 363 450 495 550 594 605 675 726 825 990 1089 1210 1350 1485 1650 1815 2178 2475 2970 3025 3267 3630 4950 5445 6050 6534 7425 9075 10890 14850 16335 18150 27225 32670 54450 81675 163350 258067 516134 774201 1290335 1548402 2322603 2580670 2838737 3871005 4645206 5677474 6451675 6967809 7742010 8516211 11613015 12903350 13935618 14193685 17032422 19355025 23226030 25548633 28387370 31226107 34839045 38710050 42581055 51097266 58065075 62452214 69678090 70968425 76645899 85162110 93678321 116130150 127743165 141936850 153291798 156130535 174195225 187356642 212905275 255486330 281034963 312261070 348390450 383229495 425810550 468391605 562069926 638715825 766458990 780652675 843104889 936783210 1277431650 1405174815 1561305350 1686209778 1916147475 2341958025 2810349630 3832294950 4215524445 4683916050 7025874075 8431048890 14051748150 21077622225 42155244450