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131444002320 = 2435547683343
BaseRepresentation
bin111101001101010101…
…1000100111000010000
3110120021120002011102020
41322122223010320100
54123144131033240
6140215021051440
712332206404441
oct1723253047020
9416246064366
10131444002320
1150821792484
12215843b6b80
13c51a0bb787
14650d1932c8
1536449eb0d0
hex1e9aac4e10

131444002320 has 40 divisors (see below), whose sum is σ = 407476407936. Its totient is φ = 35051733888.

The previous prime is 131444002289. The next prime is 131444002321. The reversal of 131444002320 is 23200444131.

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

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 (131444002321) 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 7 ways as a sum of consecutive naturals, for example, 273841432 + ... + 273841911.

Almost surely, 2131444002320 is an apocalyptic number.

131444002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444002320 is an abundant number, since it is smaller than the sum of its proper divisors (276032405616).

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

131444002320 is a wasteful number, since it uses less digits than its factorization.

131444002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547683359 (or 547683353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131444002320 its reverse (23200444131), we get a palindrome (154644446451).

The spelling of 131444002320 in words is "one hundred thirty-one billion, four hundred forty-four million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547683343 1095366686 1643050029 2190733372 2738416715 3286100058 4381466744 5476833430 6572200116 8215250145 8762933488 10953666860 13144400232 16430500290 21907333720 26288800464 32861000580 43814667440 65722001160 131444002320