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144407010668 = 22295964132917
BaseRepresentation
bin1000011001111101010…
…1000001110101101100
3111210201222021012212112
42012133111001311230
54331221143320133
6150201211223152
713301353223624
oct2063725016554
9453658235775
10144407010668
1156273aa1518
1223ba1747ab8
131080490b00b
146dbca4d884
153b52a92648
hex219f541d6c

144407010668 has 48 divisors (see below), whose sum is σ = 266280285600. Its totient is φ = 68423147520.

The previous prime is 144407010661. The next prime is 144407010673. The reversal of 144407010668 is 866010704441.

144407010668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144407010661) 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, 4370546 + ... + 4403462.

It is an arithmetic number, because the mean of its divisors is an integer number (5547505950).

Almost surely, 2144407010668 is an apocalyptic number.

It is an amenable number.

144407010668 is a deficient number, since it is larger than the sum of its proper divisors (121873274932).

144407010668 is a wasteful number, since it uses less digits than its factorization.

144407010668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33650 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 144407010668 in words is "one hundred forty-four billion, four hundred seven million, ten thousand, six hundred sixty-eight".

Divisors: 1 2 4 29 58 59 116 118 236 641 1282 1711 2564 3422 6844 18589 32917 37178 37819 65834 74356 75638 131668 151276 954593 1096751 1909186 1942103 2193502 3818372 3884206 4387004 7768412 21099797 42199594 56320987 84399188 112641974 225283948 611894113 1223788226 1244888023 2447576452 2489776046 4979552092 36101752667 72203505334 144407010668