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144694368 = 25327135521
BaseRepresentation
bin10001001111111…
…01110001100000
3101002021020100200
420213331301200
5244020204433
622205145200
73404611320
oct1047756140
9332236320
10144694368
1174749025
124055b200
1323c91c90
1415307280
15ca82613
hex89fdc60

144694368 has 144 divisors (see below), whose sum is σ = 506522016. Its totient is φ = 38154240.

The previous prime is 144694349. The next prime is 144694387. The reversal of 144694368 is 863496441.

144694368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144694349) and next prime (144694387).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23448 + ... + 28968.

It is an arithmetic number, because the mean of its divisors is an integer number (3517514).

Almost surely, 2144694368 is an apocalyptic number.

144694368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253261008).

144694368 is an abundant number, since it is smaller than the sum of its proper divisors (361827648).

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

144694368 is a wasteful number, since it uses less digits than its factorization.

144694368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5546 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 144694368 is about 12028.8972063111. The cubic root of 144694368 is about 524.9894093102.

The spelling of 144694368 in words is "one hundred forty-four million, six hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 5521 6552 8736 11042 13104 16563 22084 26208 33126 38647 44168 49689 66252 71773 77294 88336 99378 115941 132504 143546 154588 176672 198756 215319 231882 265008 287092 309176 347823 397512 430638 463764 502411 530016 574184 618352 645957 695646 795024 861276 927528 1004822 1148368 1236704 1291914 1391292 1507233 1590048 1722552 1855056 2009644 2296736 2583828 2782584 3014466 3445104 3710112 4019288 4521699 5167656 5565168 6028932 6890208 8038576 9043398 10335312 11130336 12057864 16077152 18086796 20670624 24115728 36173592 48231456 72347184 144694368