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144704140240 = 245111483110881
BaseRepresentation
bin1000011011000100001…
…0011111001111010000
3111211111200100222000111
42012301002133033100
54332323224441430
6150250503531104
713311621616612
oct2066102371720
9454450328014
10144704140240
1156406795350
1224065159a94
131085134242a
14700a2b6db2
153b6dbd5c2a
hex21b109f3d0

144704140240 has 80 divisors (see below), whose sum is σ = 367273118016. Its totient is φ = 52583731200.

The previous prime is 144704140187. The next prime is 144704140247. The reversal of 144704140240 is 42041407441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144704140247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249600 + ... + 1360480.

Almost surely, 2144704140240 is an apocalyptic number.

144704140240 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 144704140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183636559008).

144704140240 is an abundant number, since it is smaller than the sum of its proper divisors (222568977776).

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

144704140240 is a wasteful number, since it uses less digits than its factorization.

144704140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112388 (or 112382 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

Adding to 144704140240 its reverse (42041407441), we get a palindrome (186745547681).

The spelling of 144704140240 in words is "one hundred forty-four billion, seven hundred four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1483 2966 5932 7415 11864 14830 16313 23728 29660 32626 59320 65252 81565 110881 118640 130504 163130 221762 261008 326260 443524 554405 652520 887048 1108810 1219691 1305040 1774096 2217620 2439382 4435240 4878764 6098455 8870480 9757528 12196910 19515056 24393820 48787640 97575280 164436523 328873046 657746092 822182615 1315492184 1644365230 1808801753 2630984368 3288730460 3617603506 6577460920 7235207012 9044008765 13154921840 14470414024 18088017530 28940828048 36176035060 72352070120 144704140240