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131424500040 = 23351377994191
BaseRepresentation
bin111101001100110000…
…0101011100101001000
3110120020012101100022120
41322121200223211020
54123124133000130
6140213043051240
712331551550461
oct1723140534510
9416205340276
10131424500040
1150811782099
1221579970b20
13c516050a72
14650a757d68
153642e47910
hex1e9982b948

131424500040 has 64 divisors (see below), whose sum is σ = 397151458560. Its totient is φ = 34790714880.

The previous prime is 131424500033. The next prime is 131424500047. The reversal of 131424500040 is 40005424131.

It is an interprime number because it is at equal distance from previous prime (131424500033) and next prime (131424500047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131424500047) 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 15 ways as a sum of consecutive naturals, for example, 3980656 + ... + 4013535.

It is an arithmetic number, because the mean of its divisors is an integer number (6205491540).

Almost surely, 2131424500040 is an apocalyptic number.

131424500040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131424500040 is an abundant number, since it is smaller than the sum of its proper divisors (265726958520).

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

131424500040 is a wasteful number, since it uses less digits than its factorization.

131424500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994342 (or 7994338 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 131424500040 its reverse (40005424131), we get a palindrome (171429924171).

The spelling of 131424500040 in words is "one hundred thirty-one billion, four hundred twenty-four million, five hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 7994191 15988382 23982573 31976764 39970955 47965146 63953528 79941910 95930292 119912865 159883820 191860584 239825730 319767640 479651460 959302920 1095204167 2190408334 3285612501 4380816668 5476020835 6571225002 8761633336 10952041670 13142450004 16428062505 21904083340 26284900008 32856125010 43808166680 65712250020 131424500040