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433211020242 = 2371113432831
BaseRepresentation
bin1100100110111010110…
…00111001001111010010
31112102012012222000001120
412103131120321033102
524044204010121432
6531003035343110
743204241625630
oct6233530711722
91472165860046
10433211020242
111577a6366470
126bb615b1a96
1331b0c030000
1416d78c64350
15b40739ac2c
hex64dd6393d2

433211020242 has 160 divisors (see below), whose sum is σ = 1170264858624. Its totient is φ = 103863614400.

The previous prime is 433211020097. The next prime is 433211020267. The reversal of 433211020242 is 242020112334.

It is a happy number.

It is a super-2 number, since 2×4332110202422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13178767 + ... + 13211597.

Almost surely, 2433211020242 is an apocalyptic number.

433211020242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 433211020242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585132429312).

433211020242 is an abundant number, since it is smaller than the sum of its proper divisors (737053838382).

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

433211020242 is a wasteful number, since it uses less digits than its factorization.

433211020242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32906 (or 32867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 433211020242 its reverse (242020112334), we get a palindrome (675231132576).

The spelling of 433211020242 in words is "four hundred thirty-three billion, two hundred eleven million, twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2197 2366 3003 3549 3718 4394 5577 6006 6591 7098 11154 13013 13182 15379 24167 26026 28561 30758 32831 39039 46137 48334 57122 65662 72501 78078 85683 92274 98493 145002 169169 171366 196986 199927 229817 314171 338338 361141 399854 426803 459634 507507 599781 628342 689451 722282 853606 942513 1015014 1083423 1199562 1280409 1378902 1885026 2166846 2199197 2527987 2560818 2987621 4398394 4694833 5055974 5548439 5975242 6597591 7583961 8962863 9389666 11096878 13195182 14084499 15167922 16645317 17925726 28168998 32863831 33290634 38839073 61032829 65727662 72129707 77678146 98591493 116517219 122065658 144259414 183098487 197182986 216389121 233034438 366196974 427229803 432778242 504907949 793426777 854459606 937686191 1009815898 1281689409 1514723847 1586853554 1875372382 2380280331 2563378818 2813058573 3029447694 4760560662 5553987439 5626117146 6563803337 10314548101 11107974878 13127606674 16661962317 19691410011 20629096202 30943644303 33323924634 39382820022 61887288606 72201836707 144403673414 216605510121 433211020242