Search a number
-
+
131524040320 = 2751491379237
BaseRepresentation
bin111101001111101110…
…0011001011010000000
3110120111010200111220121
41322133130121122000
54123330123242240
6140231000350024
712334200616411
oct1723734313200
9416433614817
10131524040320
115086298a192
12215a7175314
13c53086323a
146519a69808
15364ba5b04a
hex1e9f719680

131524040320 has 64 divisors (see below), whose sum is σ = 316535121000. Its totient is φ = 52256493568.

The previous prime is 131524040293. The next prime is 131524040327. The reversal of 131524040320 is 23040425131.

It can be written as a sum of positive squares in 4 ways, for example, as 118870490176 + 12653550144 = 344776^2 + 112488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131524040327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594259 + ... + 784978.

Almost surely, 2131524040320 is an apocalyptic number.

131524040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131524040320 is an abundant number, since it is smaller than the sum of its proper divisors (185011080680).

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

131524040320 is a wasteful number, since it uses less digits than its factorization.

131524040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379405 (or 1379393 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 131524040320 its reverse (23040425131), we get a palindrome (154564465451).

The spelling of 131524040320 in words is "one hundred thirty-one billion, five hundred twenty-four million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 1192 1490 2384 2980 4768 5960 9536 11920 19072 23840 47680 95360 1379237 2758474 5516948 6896185 11033896 13792370 22067792 27584740 44135584 55169480 88271168 110338960 176542336 205506313 220677920 411012626 441355840 822025252 882711680 1027531565 1644050504 2055063130 3288101008 4110126260 6576202016 8220252520 13152404032 16440505040 26304808064 32881010080 65762020160 131524040320