Search a number
-
+
53403125342544 = 24322281716253453
BaseRepresentation
bin11000010010001111000100…
…10100001110000101010000
321000002021210121212202120100
430021013202110032011100
523444424100041430134
6305325020200012400
714151151141514115
oct1411074224160520
9230067717782510
1053403125342544
111601a15804828a
125ba5a72761100
1323a4b7c220313
14d28a217b690c
1562921034e999
hex3091e250e150

53403125342544 has 60 divisors (see below), whose sum is σ = 149461139288916. Its totient is φ = 17800260519936.

The previous prime is 53403125342527. The next prime is 53403125342549. The reversal of 53403125342544 is 44524352130435.

53403125342544 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 3 + 12 + 53 + 42 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39798181616400 + 13604943726144 = 6308580^2 + 3688488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53403125342544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53403125342549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4841079 + ... + 11412374.

Almost surely, 253403125342544 is an apocalyptic number.

It is an amenable number.

53403125342544 is an abundant number, since it is smaller than the sum of its proper divisors (96058013946372).

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

53403125342544 is a wasteful number, since it uses less digits than its factorization.

53403125342544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16276284 (or 16276275 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 53403125342544 its reverse (44524352130435), we get a palindrome (97927477472979).

The spelling of 53403125342544 in words is "fifty-three trillion, four hundred three billion, one hundred twenty-five million, three hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22817 45634 68451 91268 136902 182536 205353 273804 365072 410706 547608 821412 1095216 1642824 3285648 16253453 32506906 48760359 65013812 97520718 130027624 146281077 195041436 260055248 292562154 390082872 585124308 780165744 1170248616 2340497232 370855037101 741710074202 1112565111303 1483420148404 2225130222606 2966840296808 3337695333909 4450260445212 5933680593616 6675390667818 8900520890424 13350781335636 17801041780848 26701562671272 53403125342544