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144140416 = 277179463
BaseRepresentation
bin10001001011101…
…10100010000000
3101001020002110221
420211312202000
5243344443131
622145232424
73400113310
oct1045664200
9331202427
10144140416
11743aa912
1240332714
1323b29ab4
1415201440
15c9c3411
hex8976880

144140416 has 64 divisors (see below), whose sum is σ = 347518080. Its totient is φ = 58134528.

The previous prime is 144140407. The next prime is 144140453. The reversal of 144140416 is 614041441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10501 + ... + 19963.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2144140416 is an apocalyptic number.

144140416 is a gapful number since it is divisible by the number (16) 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 144140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

144140416 is an abundant number, since it is smaller than the sum of its proper divisors (203377664).

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

144140416 is an equidigital number, since it uses as much as digits as its factorization.

144140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 144140416 is about 12005.8492410991. The cubic root of 144140416 is about 524.3185910995.

Adding to 144140416 its reverse (614041441), we get a palindrome (758181857).

The spelling of 144140416 in words is "one hundred forty-four million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 9463 15232 18926 37852 66241 75704 132482 151408 160871 264964 302816 321742 529928 605632 643484 1059856 1126097 1211264 1286968 2119712 2252194 2573936 4239424 4504388 5147872 8478848 9008776 10295744 18017552 20591488 36035104 72070208 144140416