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145090225928 = 2313729832
BaseRepresentation
bin1000011100100000001…
…1010010011100001000
3111212111120212011000102
42013020003102130020
54334121044212203
6150353055024532
713324320400064
oct2071003223410
9455446764012
10145090225928
115659471722a
122415250b148
13108b33215bb
147045698aa4
153b92a4b888
hex21c80d2708

145090225928 has 36 divisors (see below), whose sum is σ = 274323459165. Its totient is φ = 71942325568.

The previous prime is 145090225921. The next prime is 145090225961. The reversal of 145090225928 is 829522090541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 143973195844 + 1117030084 = 379438^2 + 33422^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=269342.

It is a super-2 number, since 2×1450902259282 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145090225921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147598925 + ... + 147599907.

Almost surely, 2145090225928 is an apocalyptic number.

It is an amenable number.

145090225928 is a deficient number, since it is larger than the sum of its proper divisors (129233233237).

145090225928 is an frugal number, since it uses more digits than its factorization.

145090225928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 145090225928 in words is "one hundred forty-five billion, ninety million, two hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 137 274 548 983 1096 1966 3932 7864 18769 37538 75076 134671 150152 269342 538684 966289 1077368 1932578 3865156 7730312 18449927 36899854 73799708 132381593 147599416 264763186 529526372 1059052744 18136278241 36272556482 72545112964 145090225928