Search a number
-
+
131464338525 = 3452134993897
BaseRepresentation
bin111101001101111100…
…0101001110001011101
3110120022222100100110000
41322123320221301131
54123214332313100
6140221025004513
712332544303612
oct1723370516135
9416288310400
10131464338525
1150832212363
122158b183739
13c52138bc30
146511b68509
1536466b6900
hex1e9be29c5d

131464338525 has 60 divisors (see below), whose sum is σ = 262249559572. Its totient is φ = 64720892160.

The previous prime is 131464338517. The next prime is 131464338527. The reversal of 131464338525 is 525833464131.

131464338525 is a `hidden beast` number, since 1 + 31 + 4 + 64 + 3 + 38 + 525 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36690253209 + 94774085316 = 191547^2 + 307854^2 .

It is not a de Polignac number, because 131464338525 - 23 = 131464338517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131464338527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2470624 + ... + 2523273.

Almost surely, 2131464338525 is an apocalyptic number.

131464338525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131464338525 is a deficient number, since it is larger than the sum of its proper divisors (130785221047).

131464338525 is a wasteful number, since it uses less digits than its factorization.

131464338525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993932 (or 4993918 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 131464338525 in words is "one hundred thirty-one billion, four hundred sixty-four million, three hundred thirty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 405 585 675 975 1053 1755 2025 2925 5265 8775 26325 4993897 14981691 24969485 44945073 64920661 74908455 124847425 134835219 194761983 224725365 324603305 374542275 404505657 584285949 674176095 973809915 1123626825 1623016525 1752857847 2022528285 2921429745 3370880475 4869049575 5258573541 8764289235 10112641425 14607148725 26292867705 43821446175 131464338525