Search a number
-
+
32130414104144 = 2429197351505493
BaseRepresentation
bin1110100111000111100011…
…11010110100111001010000
311012202122012210200112011112
413103203301322310321100
513202411042002313034
6152200301455032452
76524226420445316
oct723436172647120
9135678183615145
1032130414104144
11a26848313a5a4
12372b10a80b728
1314c0b675b7385
147d11982dc0b6
153aabbc1677ce
hex1d38f1eb4e50

32130414104144 has 40 divisors (see below), whose sum is σ = 64726221665160. Its totient is φ = 15432497120768.

The previous prime is 32130414104143. The next prime is 32130414104189. The reversal of 32130414104144 is 44140141403123.

It can be written as a sum of positive squares in 4 ways, for example, as 20580013710400 + 11550400393744 = 4536520^2 + 3398588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32130414104144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130414104143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175661339 + ... + 175844154.

It is an arithmetic number, because the mean of its divisors is an integer number (1618155541629).

Almost surely, 232130414104144 is an apocalyptic number.

It is an amenable number.

32130414104144 is an abundant number, since it is smaller than the sum of its proper divisors (32595807561016).

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

32130414104144 is a wasteful number, since it uses less digits than its factorization.

32130414104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351505727 (or 351505721 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 32130414104144 its reverse (44140141403123), we get a palindrome (76270555507267).

The spelling of 32130414104144 in words is "thirty-two trillion, one hundred thirty billion, four hundred fourteen million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 197 232 394 464 788 1576 3152 5713 11426 22852 45704 91408 351505493 703010986 1406021972 2812043944 5624087888 10193659297 20387318594 40774637188 69246582121 81549274376 138493164242 163098548752 276986328484 553972656968 1107945313936 2008150881509 4016301763018 8032603526036 16065207052072 32130414104144