Search a number
-
+
131032151440 = 2451739467641
BaseRepresentation
bin111101000001000011…
…1111111010110010000
3110112012212002222012221
41322002013333112100
54121323212321230
6140110105430424
712316045624141
oct1720207772620
9415185088187
10131032151440
1150630262853
122148a49b414
13c48298b028
1464b05c5ac8
15361d79627a
hex1e821ff590

131032151440 has 40 divisors (see below), whose sum is σ = 306410765688. Its totient is φ = 52109890560.

The previous prime is 131032151431. The next prime is 131032151441. The reversal of 131032151440 is 44151230131.

It can be written as a sum of positive squares in 4 ways, for example, as 36416852224 + 94615299216 = 190832^2 + 307596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (131032151441) 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, 4719981 + ... + 4747660.

Almost surely, 2131032151440 is an apocalyptic number.

131032151440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032151440 is an abundant number, since it is smaller than the sum of its proper divisors (175378614248).

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

131032151440 is a wasteful number, since it uses less digits than its factorization.

131032151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467827 (or 9467821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 131032151440 its reverse (44151230131), we get a palindrome (175183381571).

The spelling of 131032151440 in words is "one hundred thirty-one billion, thirty-two million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 9467641 18935282 37870564 47338205 75741128 94676410 151482256 189352820 378705640 757411280 1637901893 3275803786 6551607572 8189509465 13103215144 16379018930 26206430288 32758037860 65516075720 131032151440