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144460746 = 23423137283
BaseRepresentation
bin10001001110001…
…00101111001010
3101001211100220000
420213010233022
5243440220441
622200143430
73402616233
oct1047045712
9331740800
10144460746
11745a9551
1240467b76
1323c0c841
141528608a
15ca382b6
hex89c4bca

144460746 has 80 divisors (see below), whose sum is σ = 341440704. Its totient is φ = 45562176.

The previous prime is 144460741. The next prime is 144460759. The reversal of 144460746 is 647064441.

144460746 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 607 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144460746.

It is not an unprimeable number, because it can be changed into a prime (144460741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 510321 + ... + 510603.

Almost surely, 2144460746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144460746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170720352).

144460746 is an abundant number, since it is smaller than the sum of its proper divisors (196979958).

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

144460746 is a wasteful number, since it uses less digits than its factorization.

144460746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 144460746 is about 12019.1824181181. The cubic root of 144460746 is about 524.7067096538.

The spelling of 144460746 in words is "one hundred forty-four million, four hundred sixty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 137 138 162 207 274 283 411 414 566 621 822 849 1233 1242 1698 1863 2466 2547 3151 3699 3726 5094 6302 6509 7398 7641 9453 11097 13018 15282 18906 19527 22194 22923 28359 38771 39054 45846 56718 58581 77542 85077 116313 117162 170154 175743 232626 255231 348939 351486 510462 527229 697878 891733 1046817 1054458 1783466 2093634 2675199 3140451 5350398 6280902 8025597 16051194 24076791 48153582 72230373 144460746