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144014112 = 2534115051
BaseRepresentation
bin10001001010101…
…11101100100000
3101000222200020000
420211113230200
5243331422422
622142420000
73366046134
oct1045275440
9330880200
10144014112
1174323a30
1240291600
1323ab4468
14151ab3c4
15c99acac
hex8957b20

144014112 has 120 divisors (see below), whose sum is σ = 462136752. Its totient is φ = 43632000.

The previous prime is 144014083. The next prime is 144014113. The reversal of 144014112 is 211410441.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144014113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25987 + ... + 31037.

Almost surely, 2144014112 is an apocalyptic number.

144014112 is a gapful number since it is divisible by the number (12) 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 144014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068376).

144014112 is an abundant number, since it is smaller than the sum of its proper divisors (318122640).

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

144014112 is a wasteful number, since it uses less digits than its factorization.

144014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 144014112 is about 12000.5879855947. The cubic root of 144014112 is about 524.1654004596.

Adding to 144014112 its reverse (211410441), we get a palindrome (355424553).

The spelling of 144014112 in words is "one hundred forty-four million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 5051 7128 9504 10102 14256 15153 20204 28512 30306 40408 45459 55561 60612 80816 90918 111122 121224 136377 161632 166683 181836 222244 242448 272754 333366 363672 409131 444488 484896 500049 545508 666732 727344 818262 888976 1000098 1091016 1333464 1454688 1500147 1636524 1777952 2000196 2182032 2666928 3000294 3273048 4000392 4364064 4500441 5333856 6000588 6546096 8000784 9000882 12001176 13092192 16001568 18001764 24002352 36003528 48004704 72007056 144014112