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144861966 = 23319271521
BaseRepresentation
bin10001010001001…
…10101100001110
3101002120202021000
420220212230032
5244041040331
622212521130
73406210044
oct1050465416
9332522230
10144861966
1174852a37
12406201a6
1324020352
141534c394
15cab70e6
hex8a26b0e

144861966 has 64 divisors (see below), whose sum is σ = 340761600. Its totient is φ = 45489600.

The previous prime is 144861961. The next prime is 144862009. The reversal of 144861966 is 669168441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144861961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277786 + ... + 278306.

It is an arithmetic number, because the mean of its divisors is an integer number (5324400).

Almost surely, 2144861966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144861966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170380800).

144861966 is an abundant number, since it is smaller than the sum of its proper divisors (195899634).

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

144861966 is a wasteful number, since it uses less digits than its factorization.

144861966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 144861966 is about 12035.8616642100. The cubic root of 144861966 is about 525.1920277132.

The spelling of 144861966 in words is "one hundred forty-four million, eight hundred sixty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 271 342 513 521 542 813 1026 1042 1563 1626 2439 3126 4689 4878 5149 7317 9378 9899 10298 14067 14634 15447 19798 28134 29697 30894 46341 59394 89091 92682 139023 141191 178182 267273 278046 282382 423573 534546 847146 1270719 2541438 2682629 3812157 5365258 7624314 8047887 16095774 24143661 48287322 72430983 144861966