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144553416 = 23373132749
BaseRepresentation
bin10001001110110…
…11010111001000
3101002000002000020
420213123113020
5244001202131
622202140440
73403453350
oct1047332710
9332002006
10144553416
1174662137
12404b1720
1323c42a87
14152abb60
15ca55996
hex89db5c8

144553416 has 64 divisors (see below), whose sum is σ = 414480000. Its totient is φ = 41154048.

The previous prime is 144553411. The next prime is 144553421. The reversal of 144553416 is 614355441.

144553416 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 (144553411) and next prime (144553421).

It is not an unprimeable number, because it can be changed into a prime (144553411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51210 + ... + 53958.

It is an arithmetic number, because the mean of its divisors is an integer number (6476250).

Almost surely, 2144553416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144553416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207240000).

144553416 is an abundant number, since it is smaller than the sum of its proper divisors (269926584).

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

144553416 is a wasteful number, since it uses less digits than its factorization.

144553416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 144553416 is about 12023.0368875755. The cubic root of 144553416 is about 524.8188835567.

It can be divided in two parts, 14455 and 3416, that added together give a palindrome (17871).

The spelling of 144553416 in words is "one hundred forty-four million, five hundred fifty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 939 1252 1878 2191 2504 2749 3756 4382 5498 6573 7512 8247 8764 10996 13146 16494 17528 19243 21992 26292 32988 38486 52584 57729 65976 76972 115458 153944 230916 461832 860437 1720874 2581311 3441748 5162622 6023059 6883496 10325244 12046118 18069177 20650488 24092236 36138354 48184472 72276708 144553416