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1406387271745 = 56173602910477
BaseRepresentation
bin10100011101110011001…
…101101011100001000001
311222110010112202211010001
4110131303031223201001
5141020240120143440
62554030240040001
7203415405365401
oct24356315534101
94873115684101
101406387271745
114a2499a50075
121a8698303001
13a2810ca8901
144c0d8a28801
15268b3c94b9a
hex1477336b841

1406387271745 has 32 divisors (see below), whose sum is σ = 1739283455520. Its totient is φ = 1091220387840.

The previous prime is 1406387271733. The next prime is 1406387271781. The reversal of 1406387271745 is 5471727836041.

It is a happy number.

It is a Cunningham number, because it is equal to 11859122+1.

It can be written as a sum of positive squares in 16 ways, for example, as 149694705216 + 1256692566529 = 386904^2 + 1121023^2 .

It is not a de Polignac number, because 1406387271745 - 211 = 1406387269697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134230447 + ... + 134240923.

It is an arithmetic number, because the mean of its divisors is an integer number (54352607985).

Almost surely, 21406387271745 is an apocalyptic number.

It is an amenable number.

1406387271745 is a deficient number, since it is larger than the sum of its proper divisors (332896183775).

1406387271745 is a wasteful number, since it uses less digits than its factorization.

1406387271745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16645.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 1406387271745 in words is "one trillion, four hundred six billion, three hundred eighty-seven million, two hundred seventy-one thousand, seven hundred forty-five".

Divisors: 1 5 61 73 305 365 4453 6029 10477 22265 30145 52385 367769 440117 639097 764821 1838845 2200585 3195485 3824105 26847137 46654081 63165833 134235685 233270405 315829165 3853115813 4611105809 19265579065 23055529045 281277454349 1406387271745