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131433412240 = 24513671886243
BaseRepresentation
bin111101001101000001…
…0101011011010010000
3110120020211011010120001
41322122002223122100
54123133423142430
6140214002055344
712332020366534
oct1723202533220
9416224133501
10131433412240
1150816809a49
122158094a554
13c517b51460
14650b9d7bc4
153643b083ca
hex1e9a0ab690

131433412240 has 80 divisors (see below), whose sum is σ = 334000997568. Its totient is φ = 47804917248.

The previous prime is 131433412223. The next prime is 131433412261. The reversal of 131433412240 is 42214334131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131433412199 and 131433412208.

It is an unprimeable number.

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, 873442 + ... + 1012801.

Almost surely, 2131433412240 is an apocalyptic number.

131433412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131433412240 is an abundant number, since it is smaller than the sum of its proper divisors (202567585328).

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

131433412240 is a wasteful number, since it uses less digits than its factorization.

131433412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886336 (or 1886330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131433412240 its reverse (42214334131), we get a palindrome (173647746371).

The spelling of 131433412240 in words is "one hundred thirty-one billion, four hundred thirty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 871 1040 1072 1340 1742 2680 3484 4355 5360 6968 8710 13936 17420 34840 69680 1886243 3772486 7544972 9431215 15089944 18862430 24521159 30179888 37724860 49042318 75449720 98084636 122605795 126378281 150899440 196169272 245211590 252756562 392338544 490423180 505513124 631891405 980846360 1011026248 1263782810 1642917653 1961692720 2022052496 2527565620 3285835306 5055131240 6571670612 8214588265 10110262480 13143341224 16429176530 26286682448 32858353060 65716706120 131433412240