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144245416 = 237219107181
BaseRepresentation
bin10001001100100…
…00001010101000
3101001102102111211
420212100022220
5243411323131
622151402504
73401031400
oct1046201250
9331372454
10144245416
1174471797
1240383434
1323b65823
141522b800
15c9e45b1
hex89902a8

144245416 has 96 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 57697920.

The previous prime is 144245401. The next prime is 144245429. The reversal of 144245416 is 614542441.

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, 796846 + ... + 797026.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2144245416 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 144245416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

144245416 is an abundant number, since it is smaller than the sum of its proper divisors (191872184).

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

144245416 is a wasteful number, since it uses less digits than its factorization.

144245416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 144245416 is about 12010.2213135312. The cubic root of 144245416 is about 524.4458745984.

Adding to 144245416 its reverse (614542441), we get a palindrome (758787857).

The spelling of 144245416 in words is "one hundred forty-four million, two hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 107 133 152 181 196 214 266 362 392 428 532 724 749 856 931 1064 1267 1448 1498 1862 2033 2534 2996 3439 3724 4066 5068 5243 5992 6878 7448 8132 8869 10136 10486 13756 14231 16264 17738 19367 20972 24073 27512 28462 35476 38734 41944 48146 56924 70952 77468 96292 99617 113848 135569 154936 168511 192584 199234 271138 337022 367973 398468 542276 674044 735946 796936 948983 1084552 1348088 1471892 1897966 2575811 2943784 3795932 5151622 7591864 10303244 18030677 20606488 36061354 72122708 144245416