Search a number
-
+
145013340037 is a prime number
BaseRepresentation
bin1000011100001101110…
…1111111011110000101
3111212022020011221101211
42013003131333132011
54333441403340122
6150341311051421
713322365024006
oct2070335773605
9455266157354
10145013340037
1156555282775
1224130810b71
13108a04117a7
1470393a31ad
153b8ae10877
hex21c377f785

145013340037 has 2 divisors, whose sum is σ = 145013340038. Its totient is φ = 145013340036.

The previous prime is 145013340001. The next prime is 145013340097. The reversal of 145013340037 is 730043310541.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124602646081 + 20410693956 = 352991^2 + 142866^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145013340037 is a prime.

It is a super-2 number, since 2×1450133400372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145013339990 and 145013340008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145013340097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72506670018 + 72506670019.

It is an arithmetic number, because the mean of its divisors is an integer number (72506670019).

Almost surely, 2145013340037 is an apocalyptic number.

It is an amenable number.

145013340037 is a deficient number, since it is larger than the sum of its proper divisors (1).

145013340037 is an equidigital number, since it uses as much as digits as its factorization.

145013340037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 145013340037 its reverse (730043310541), we get a palindrome (875056650578).

The spelling of 145013340037 in words is "one hundred forty-five billion, thirteen million, three hundred forty thousand, thirty-seven".