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131344451540 = 22534331912969
BaseRepresentation
bin111101001010010111…
…1010100011111010100
3110120000121202110102022
41322110233110133110
54122443134422130
6140201103232312
712326560263101
oct1722457243724
9416017673368
10131344451540
1150780578505
1221556ba8698
13c5025a45a3
1464ddc7baa8
15363add47e5
hex1e94bd47d4

131344451540 has 24 divisors (see below), whose sum is σ = 275903837160. Its totient is φ = 52522449408.

The previous prime is 131344451507. The next prime is 131344451593. The reversal of 131344451540 is 45154443131.

It can be written as a sum of positive squares in 4 ways, for example, as 13392044176 + 117952407364 = 115724^2 + 343442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131344451540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887825 + ... + 1025144.

It is an arithmetic number, because the mean of its divisors is an integer number (11495993215).

Almost surely, 2131344451540 is an apocalyptic number.

131344451540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344451540 is an abundant number, since it is smaller than the sum of its proper divisors (144559385620).

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

131344451540 is a wasteful number, since it uses less digits than its factorization.

131344451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916411 (or 1916409 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 131344451540 its reverse (45154443131), we get a palindrome (176498894671).

The spelling of 131344451540 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 3433 6866 13732 17165 34330 68660 1912969 3825938 7651876 9564845 19129690 38259380 6567222577 13134445154 26268890308 32836112885 65672225770 131344451540