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144451062 = 23276771241
BaseRepresentation
bin10001001110000…
…10010111110110
3101001210212121100
420213002113312
5243434413222
622200030530
73402546060
oct1047022766
9331725540
10144451062
11745a2248
1240462446
1323c08302
1415282730
15ca354ac
hex89c25f6

144451062 has 96 divisors (see below), whose sum is σ = 369667584. Its totient is φ = 39916800.

The previous prime is 144451049. The next prime is 144451067. The reversal of 144451062 is 260154441.

144451062 is a `hidden beast` number, since 144 + 4 + 510 + 6 + 2 = 666.

144451062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444510622 = 41732218625855688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144451067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599262 + ... + 599502.

It is an arithmetic number, because the mean of its divisors is an integer number (3850704).

Almost surely, 2144451062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144451062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184833792).

144451062 is an abundant number, since it is smaller than the sum of its proper divisors (225216522).

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

144451062 is a wasteful number, since it uses less digits than its factorization.

144451062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144451062 is about 12018.7795553459. The cubic root of 144451062 is about 524.6949847309.

The spelling of 144451062 in words is "one hundred forty-four million, four hundred fifty-one thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 71 126 134 142 201 213 241 402 426 469 482 497 603 639 723 938 994 1206 1278 1407 1446 1491 1687 2169 2814 2982 3374 4221 4338 4473 4757 5061 8442 8946 9514 10122 14271 15183 16147 17111 28542 30366 32294 33299 34222 42813 48441 51333 66598 85626 96882 99897 102666 113029 119777 145323 153999 199794 226058 239554 290646 299691 307998 339087 359331 599382 678174 718662 1017261 1077993 1146437 2034522 2155986 2292874 3439311 6878622 8025059 10317933 16050118 20635866 24075177 48150354 72225531 144451062