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145003800807 = 3317331043417
BaseRepresentation
bin1000011100001011100…
…1100110100011100111
3111212021120020022001000
42013002321212203213
54333431433111212
6150340330404343
713322220653565
oct2070271464347
9455246208030
10145003800807
115654a957808
12241295906b3
131089b451888
147037ddca35
153b8a1791dc
hex21c2e668e7

145003800807 has 16 divisors (see below), whose sum is σ = 216062189280. Its totient is φ = 96110415936.

The previous prime is 145003800803. The next prime is 145003800839. The reversal of 145003800807 is 708008300541.

145003800807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145003800807 - 22 = 145003800803 is a prime.

It is a super-2 number, since 2×1450038008072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145003800803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15517038 + ... + 15526379.

It is an arithmetic number, because the mean of its divisors is an integer number (13503886830).

Almost surely, 2145003800807 is an apocalyptic number.

145003800807 is a deficient number, since it is larger than the sum of its proper divisors (71058388473).

145003800807 is a wasteful number, since it uses less digits than its factorization.

145003800807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31043599 (or 31043593 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 145003800807 in words is "one hundred forty-five billion, three million, eight hundred thousand, eight hundred seven".

Divisors: 1 3 9 27 173 519 1557 4671 31043417 93130251 279390753 838172259 5370511141 16111533423 48334600269 145003800807