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145436661441 = 32104271549787
BaseRepresentation
bin1000011101110010110…
…0110101011011000001
3111220101201201220012100
42013130230311123001
54340323241131231
6150451312221013
713336025140131
oct2073454653301
9456351656170
10145436661441
1156752227375
122422a53a769
131093a02a226
1470796b8ac1
153bb317e1e6
hex21dcb356c1

145436661441 has 12 divisors (see below), whose sum is σ = 210095460432. Its totient is φ = 96948413016.

The previous prime is 145436661379. The next prime is 145436661457. The reversal of 145436661441 is 144166634541.

145436661441 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 145436661441 - 210 = 145436660417 is a prime.

It is a super-2 number, since 2×1454366614412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145436661841) 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 11 ways as a sum of consecutive naturals, for example, 681051 + ... + 868736.

It is an arithmetic number, because the mean of its divisors is an integer number (17507955036).

Almost surely, 2145436661441 is an apocalyptic number.

It is an amenable number.

145436661441 is a deficient number, since it is larger than the sum of its proper divisors (64658798991).

145436661441 is a wasteful number, since it uses less digits than its factorization.

145436661441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560220 (or 1560217 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 145436661441 in words is "one hundred forty-five billion, four hundred thirty-six million, six hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 3 9 10427 31281 93843 1549787 4649361 13948083 16159629049 48478887147 145436661441