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144214231000 = 2353759349187
BaseRepresentation
bin1000011001001111010…
…1101000011111011000
3111210020112111222212211
42012103311220133120
54330322320343000
6150130123244504
713263522511030
oct2062365503730
9453215458784
10144214231000
11561851a0284
1223b49079734
13107a39b12c8
146da11ca8c0
153b40bb27ba
hex2193d687d8

144214231000 has 128 divisors (see below), whose sum is σ = 392207961600. Its totient is φ = 48606691200.

The previous prime is 144214230997. The next prime is 144214231013. The reversal of 144214231000 is 132412441.

It is a happy number.

144214231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442142310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238407 + ... + 587593.

It is an arithmetic number, because the mean of its divisors is an integer number (3064124700).

Almost surely, 2144214231000 is an apocalyptic number.

144214231000 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 144214231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196103980800).

144214231000 is an abundant number, since it is smaller than the sum of its proper divisors (247993730600).

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

144214231000 is a wasteful number, since it uses less digits than its factorization.

144214231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349274 (or 349260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 144214231000 its reverse (132412441), we get a palindrome (144346643441).

The spelling of 144214231000 in words is "one hundred forty-four billion, two hundred fourteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 590 700 826 875 1000 1180 1400 1475 1652 1750 2065 2360 2950 3304 3500 4130 5900 7000 7375 8260 10325 11800 14750 16520 20650 29500 41300 51625 59000 82600 103250 206500 349187 413000 698374 1396748 1745935 2444309 2793496 3491870 4888618 6983740 8729675 9777236 12221545 13967480 17459350 19554472 20602033 24443090 34918700 41204066 43648375 48886180 61107725 69837400 82408132 87296750 97772360 103010165 122215450 144214231 164816264 174593500 206020330 244430900 288428462 305538625 349187000 412040660 488861800 515050825 576856924 611077250 721071155 824081320 1030101650 1153713848 1222154500 1442142310 2060203300 2444309000 2575254125 2884284620 3605355775 4120406600 5150508250 5768569240 7210711550 10301016500 14421423100 18026778875 20602033000 28842846200 36053557750 72107115500 144214231000