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144415544 = 237213171667
BaseRepresentation
bin10001001101110…
…01101100111000
3101001202001212212
420212321230320
5243432244134
622155154252
73402340400
oct1046715470
9331661785
10144415544
1174578599
1240445988
1323bc50b0
1415273800
15ca29bce
hex89b9b38

144415544 has 96 divisors (see below), whose sum is σ = 359387280. Its totient is φ = 53738496.

The previous prime is 144415519. The next prime is 144415549. The reversal of 144415544 is 445514441.

144415544 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144415544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144415549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85799 + ... + 87465.

Almost surely, 2144415544 is an apocalyptic number.

144415544 is a gapful number since it is divisible by the number (14) 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 144415544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179693640).

144415544 is an abundant number, since it is smaller than the sum of its proper divisors (214971736).

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

144415544 is a wasteful number, since it uses less digits than its factorization.

144415544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1706 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 144415544 is about 12017.3018602347. The cubic root of 144415544 is about 524.6519767533.

Adding to 144415544 its reverse (445514441), we get a palindrome (589929985).

The spelling of 144415544 in words is "one hundred forty-four million, four hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 364 392 442 476 637 728 833 884 952 1274 1547 1666 1667 1768 2548 3094 3332 3334 5096 6188 6664 6668 10829 11669 12376 13336 21658 21671 23338 28339 43316 43342 46676 56678 81683 86632 86684 93352 113356 151697 163366 173368 198373 226712 303394 326732 368407 396746 606788 653464 736814 793492 1061879 1213576 1388611 1473628 1586984 2123758 2578849 2777222 2947256 4247516 5157698 5554444 8495032 10315396 11108888 18051943 20630792 36103886 72207772 144415544