Search a number
-
+
32141404350 = 23252119077159
BaseRepresentation
bin11101111011110001…
…101110100010111110
310001221222201111220100
4131323301232202332
51011311144414400
622433205501530
72215331300136
oct357361564276
9101858644810
1032141404350
11126a3a918a0
1262901118a6
133052c1ba73
1417ac9d1ac6
15c81b1e100
hex77bc6e8be

32141404350 has 144 divisors (see below), whose sum is σ = 94320570240. Its totient is φ = 7782177600.

The previous prime is 32141404313. The next prime is 32141404357. The reversal of 32141404350 is 5340414123.

It is a happy number.

32141404350 is a `hidden beast` number, since 3 + 214 + 14 + 0 + 435 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141404357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4486071 + ... + 4493229.

It is an arithmetic number, because the mean of its divisors is an integer number (655003960).

Almost surely, 232141404350 is an apocalyptic number.

32141404350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32141404350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47160285120).

32141404350 is an abundant number, since it is smaller than the sum of its proper divisors (62179165890).

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

32141404350 is a wasteful number, since it uses less digits than its factorization.

32141404350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32141404350 its reverse (5340414123), we get a palindrome (37481818473).

The spelling of 32141404350 in words is "thirty-two billion, one hundred forty-one million, four hundred four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 907 990 1650 1814 2475 2721 4535 4950 5442 7159 8163 9070 9977 13605 14318 16326 19954 21477 22675 27210 29931 35795 40815 42954 45350 49885 59862 64431 68025 71590 78749 81630 89793 99770 107385 128862 136050 149655 157498 178975 179586 204075 214770 236247 249425 299310 322155 357950 393745 408150 448965 472494 498850 536925 644310 708741 748275 787490 897930 1073850 1181235 1417482 1496550 1610775 1968725 2244825 2362470 3221550 3543705 3937450 4489650 5906175 6493213 7087410 11812350 12986426 17718525 19479639 32466065 35437050 38959278 58438917 64932130 71425343 97398195 116877834 142850686 162330325 194796390 214276029 292194585 324660650 357126715 428552058 486990975 584389170 642828087 714253430 973981950 1071380145 1285656174 1460972925 1785633575 2142760290 2921945850 3214140435 3571267150 5356900725 6428280870 10713801450 16070702175 32141404350