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42214203150 = 2352726618689
BaseRepresentation
bin100111010100001010…
…011001111100001110
311000221222110201012120
4213110022121330032
51142423314000100
631220512513410
73023051543400
oct472412317416
9130858421176
1042214203150
11169a28a96a9
12822154b866
133c99a17942
1420866a4b70
1511710ac0a0
hex9d4299f0e

42214203150 has 144 divisors (see below), whose sum is σ = 121981947120. Its totient is φ = 9633254400.

The previous prime is 42214203149. The next prime is 42214203179. The reversal of 42214203150 is 5130241224.

42214203150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42214203150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4854006 + ... + 4862694.

It is an arithmetic number, because the mean of its divisors is an integer number (847096855).

Almost surely, 242214203150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42214203150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990973560).

42214203150 is an abundant number, since it is smaller than the sum of its proper divisors (79767743970).

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

42214203150 is a wasteful number, since it uses less digits than its factorization.

42214203150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42214203150 its reverse (5130241224), we get a palindrome (47344444374).

The spelling of 42214203150 in words is "forty-two billion, two hundred fourteen million, two hundred three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 661 735 1050 1225 1322 1470 1983 2450 3305 3675 3966 4627 6610 7350 8689 9254 9915 13881 16525 17378 19830 23135 26067 27762 32389 33050 43445 46270 49575 52134 60823 64778 69405 86890 97167 99150 115675 121646 130335 138810 161945 182469 194334 217225 231350 260670 304115 323890 347025 364938 425761 434450 485835 608230 651675 694050 809725 851522 912345 971670 1277283 1303350 1520575 1619450 1824690 2128805 2429175 2554566 3041150 4257610 4561725 4858350 5743429 6386415 9123450 10644025 11486858 12772830 17230287 21288050 28717145 31932075 34460574 40204003 57434290 63864150 80408006 86151435 120612009 143585725 172302870 201020015 241224018 281428021 287171450 402040030 430757175 562856042 603060045 844284063 861514350 1005100075 1206120090 1407140105 1688568126 2010200150 2814280210 3015300225 4221420315 6030600450 7035700525 8442840630 14071401050 21107101575 42214203150