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145355621140 = 22516214483517
BaseRepresentation
bin1000011101011111011…
…1101100001100010100
3111220012002020121210201
42013113313230030110
54340142014334030
6150435255230244
713334022252052
oct2072767541424
9456162217721
10145355621140
1156710505614
1224207378384
13109262c44a2
14706ca211d2
153baaec22ca
hex21d7dec314

145355621140 has 24 divisors (see below), whose sum is σ = 305435180232. Its totient is φ = 58106367360.

The previous prime is 145355621129. The next prime is 145355621141. The reversal of 145355621140 is 41126553541.

145355621140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49165079824 + 96190541316 = 221732^2 + 310146^2 .

It is a super-3 number, since 3×1453556211403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 145355621140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145355621141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2209339 + ... + 2274178.

It is an arithmetic number, because the mean of its divisors is an integer number (12726465843).

Almost surely, 2145355621140 is an apocalyptic number.

145355621140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145355621140 is an abundant number, since it is smaller than the sum of its proper divisors (160079559092).

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

145355621140 is a wasteful number, since it uses less digits than its factorization.

145355621140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485147 (or 4485145 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 145355621140 in words is "one hundred forty-five billion, three hundred fifty-five million, six hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1621 3242 6484 8105 16210 32420 4483517 8967034 17934068 22417585 44835170 89670340 7267781057 14535562114 29071124228 36338905285 72677810570 145355621140