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401747375040001 is a prime number
BaseRepresentation
bin101101101011000110001100…
…1100101000010011000000001
31221200110200012022200022210221
41123112030121211002120001
5410124212111002240001
63542240110214223041
7150423201320462134
oct13326143145023001
91850420168608727
10401747375040001
1110701111774aa01
12390853bb054a81
13143227cbc51373
14712c968c2821b
15316a587b311a1
hex16d6319942601

401747375040001 has 2 divisors, whose sum is σ = 401747375040002. Its totient is φ = 401747375040000.

The previous prime is 401747375039957. The next prime is 401747375040049. The reversal of 401747375040001 is 100040573747104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203744906357776 + 198002468682225 = 14273924^2 + 14071335^2 .

It is a cyclic number.

It is not a de Polignac number, because 401747375040001 - 213 = 401747375031809 is a prime.

It is a super-2 number, since 2×4017473750400012 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401747375040001.

It is not a weakly prime, because it can be changed into another prime (401747375040701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200873687520000 + 200873687520001.

It is an arithmetic number, because the mean of its divisors is an integer number (200873687520001).

Almost surely, 2401747375040001 is an apocalyptic number.

It is an amenable number.

401747375040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401747375040001 is an equidigital number, since it uses as much as digits as its factorization.

401747375040001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 401747375040001 in words is "four hundred one trillion, seven hundred forty-seven billion, three hundred seventy-five million, forty thousand, one".