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144241120024300 = 225213211075256773
BaseRepresentation
bin100000110010111111000000…
…101110001001011011101100
3200220201022112122210121000201
4200302333000232021123230
5122401221303211234200
61230435242240003244
742245035263503035
oct4062770056113354
9626638478717021
10144241120024300
1141a61351993972
1214216a8b300524
136263b5794ca10
14278944394ba8c
1511a20988e1c6a
hex832fc0b896ec

144241120024300 has 72 divisors (see below), whose sum is σ = 337096436228496. Its totient is φ = 53255726319360.

The previous prime is 144241120024279. The next prime is 144241120024357. The reversal of 144241120024300 is 3420021142441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24810714 + ... + 30067486.

It is an arithmetic number, because the mean of its divisors is an integer number (4681894947618).

Almost surely, 2144241120024300 is an apocalyptic number.

144241120024300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241120024300 is an abundant number, since it is smaller than the sum of its proper divisors (192855316204196).

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

144241120024300 is a wasteful number, since it uses less digits than its factorization.

144241120024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277907 (or 5277900 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144241120024300 its reverse (3420021142441), we get a palindrome (147661141166741).

The spelling of 144241120024300 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred twenty million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 21107 42214 84428 105535 211070 274391 422140 527675 548782 1055350 1097564 1371955 2110700 2743910 5256773 5487820 6859775 10513546 13719550 21027092 26283865 27439100 52567730 68338049 105135460 131419325 136676098 262838650 273352196 341690245 525677300 683380490 1366760980 1708451225 3416902450 6833804900 110954707711 221909415422 443818830844 554773538555 1109547077110 1442411200243 2219094154220 2773867692775 2884822400486 5547735385550 5769644800972 7212056001215 11095470771100 14424112002430 28848224004860 36060280006075 72120560012150 144241120024300