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145727257419 = 3222771330033
BaseRepresentation
bin1000011110111000000…
…1010111101101001011
3111221010222112200221100
42013232001113231023
54341422134214134
6150540212512443
713346154151542
oct2075601275513
9457128480840
10145727257419
1156891268437
12242ab91b723
13109852b4803
1470a6121159
153bcd931999
hex21ee057b4b

145727257419 has 12 divisors (see below), whose sum is σ = 211422220776. Its totient is φ = 96723523392.

The previous prime is 145727257367. The next prime is 145727257427. The reversal of 145727257419 is 914752727541.

It is a happy number.

145727257419 is a `hidden beast` number, since 1 + 4 + 57 + 2 + 7 + 2 + 574 + 19 = 666.

It is not a de Polignac number, because 145727257419 - 211 = 145727255371 is a prime.

It is a super-4 number, since 4×1457272574194 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (145727257469) 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, 35662974 + ... + 35667059.

It is an arithmetic number, because the mean of its divisors is an integer number (17618518398).

Almost surely, 2145727257419 is an apocalyptic number.

145727257419 is a deficient number, since it is larger than the sum of its proper divisors (65694963357).

145727257419 is a wasteful number, since it uses less digits than its factorization.

145727257419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71330266 (or 71330263 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 145727257419 in words is "one hundred forty-five billion, seven hundred twenty-seven million, two hundred fifty-seven thousand, four hundred nineteen".

Divisors: 1 3 9 227 681 2043 71330033 213990099 641970297 16191917491 48575752473 145727257419