Search a number
-
+
400014100410037 is a prime number
BaseRepresentation
bin101101011110011111000101…
…0010111000010111010110101
31221110022222022102200011101121
41122330332022113002322311
5404412312334201110122
63534431535115423541
7150154031211301441
oct13274761227027265
91843288272604347
10400014100410037
11106503033376433
1238a454b4a54bb1
13142282248b4c49
1470acb001bb821
15313a440e97bc7
hex16bcf8a5c2eb5

400014100410037 has 2 divisors, whose sum is σ = 400014100410038. Its totient is φ = 400014100410036.

The previous prime is 400014100409993. The next prime is 400014100410091. The reversal of 400014100410037 is 730014001410004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244839593317201 + 155174507092836 = 15647351^2 + 12456906^2 .

It is a cyclic number.

It is not a de Polignac number, because 400014100410037 - 223 = 400014092021429 is a prime.

It is a super-2 number, since 2×4000141004100372 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400014100409993 and 400014100410020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400014100410137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200007050205018 + 200007050205019.

It is an arithmetic number, because the mean of its divisors is an integer number (200007050205019).

Almost surely, 2400014100410037 is an apocalyptic number.

It is an amenable number.

400014100410037 is a deficient number, since it is larger than the sum of its proper divisors (1).

400014100410037 is an equidigital number, since it uses as much as digits as its factorization.

400014100410037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 400014100410037 in words is "four hundred trillion, fourteen billion, one hundred million, four hundred ten thousand, thirty-seven".