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145778370417 = 3223416919093
BaseRepresentation
bin1000011111000100010…
…0010110011101110001
3111221021112201111210100
42013301010112131301
54342023230323132
6150545240223013
713350344463201
oct2076104263561
9457245644710
10145778370417
11569080a9389
1224304a6aa69
1310992a6c6a4
1470acc28401
153bd317b37c
hex21f1116771

145778370417 has 12 divisors (see below), whose sum is σ = 210658735924. Its totient is φ = 97144051680.

The previous prime is 145778370407. The next prime is 145778370427. The reversal of 145778370417 is 714073877541.

145778370417 is a `hidden beast` number, since 1 + 457 + 7 + 83 + 70 + 41 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (145778370407) and next prime (145778370427).

It can be written as a sum of positive squares in 2 ways, for example, as 32656465521 + 113121904896 = 180711^2 + 336336^2 .

It is not a de Polignac number, because 145778370417 - 24 = 145778370401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145778370407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3438478 + ... + 3480615.

Almost surely, 2145778370417 is an apocalyptic number.

It is an amenable number.

145778370417 is a deficient number, since it is larger than the sum of its proper divisors (64880365507).

145778370417 is a wasteful number, since it uses less digits than its factorization.

145778370417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921440 (or 6921437 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 145778370417 in words is "one hundred forty-five billion, seven hundred seventy-eight million, three hundred seventy thousand, four hundred seventeen".

Divisors: 1 3 9 2341 7023 21069 6919093 20757279 62271837 16197596713 48592790139 145778370417