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144114240 = 2635197901
BaseRepresentation
bin10001001011100…
…00001001000000
3101001011202120110
420211300021000
5243343123430
622144511320
73366644064
oct1045601100
9331152513
10144114240
1174392186
124031b540
1323b1abca
14151d5aa4
15c9ba7b0
hex8970240

144114240 has 112 divisors (see below), whose sum is σ = 481705920. Its totient is φ = 36403200.

The previous prime is 144114233. The next prime is 144114247. The reversal of 144114240 is 42411441.

It is an interprime number because it is at equal distance from previous prime (144114233) and next prime (144114247).

It is not an unprimeable number, because it can be changed into a prime (144114247) 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, 14290 + ... + 22190.

Almost surely, 2144114240 is an apocalyptic number.

144114240 is a gapful number since it is divisible by the number (10) 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 144114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240852960).

144114240 is an abundant number, since it is smaller than the sum of its proper divisors (337591680).

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

144114240 is a wasteful number, since it uses less digits than its factorization.

144114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144114240 is about 12004.7590563076. The cubic root of 144114240 is about 524.2868503042.

Adding to 144114240 its reverse (42411441), we get a palindrome (186525681).

The spelling of 144114240 in words is "one hundred forty-four million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 7901 9120 15802 18240 23703 31604 39505 47406 63208 79010 94812 118515 126416 150119 158020 189624 237030 252832 300238 316040 379248 450357 474060 505664 600476 632080 750595 758496 900714 948120 1200952 1264160 1501190 1516992 1801428 1896240 2251785 2401904 2528320 3002380 3602856 3792480 4503570 4803808 6004760 7205712 7584960 9007140 9607616 12009520 14411424 18014280 24019040 28822848 36028560 48038080 72057120 144114240