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145602820240 = 24510303176651
BaseRepresentation
bin1000011110011010011…
…0101011100010010000
3111220211022101122012221
42013212212223202100
54341143310221430
6150520005430424
713343113360123
oct2074646534220
9456738348187
10145602820240
1156827aa5999
122427610b414
1310965596047
1470937ac3ba
153bc2a5157a
hex21e69ab890

145602820240 has 40 divisors (see below), whose sum is σ = 338561330688. Its totient is φ = 58235145600.

The previous prime is 145602820217. The next prime is 145602820267. The reversal of 145602820240 is 42028206541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 145602820196 and 145602820205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735915 + ... + 912565.

Almost surely, 2145602820240 is an apocalyptic number.

145602820240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145602820240 is an abundant number, since it is smaller than the sum of its proper divisors (192958510448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145602820240 is a wasteful number, since it uses less digits than its factorization.

145602820240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186967 (or 186961 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 145602820240 in words is "one hundred forty-five billion, six hundred two million, eight hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10303 20606 41212 51515 82424 103030 164848 176651 206060 353302 412120 706604 824240 883255 1413208 1766510 2826416 3533020 7066040 14132080 1820035253 3640070506 7280141012 9100176265 14560282024 18200352530 29120564048 36400705060 72801410120 145602820240