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144131221400 = 23521514772557
BaseRepresentation
bin1000011000111011100…
…0111110011110011000
3111210000202022200010012
42012032320332132120
54330140043041100
6150114000141052
713261464111365
oct2061670763630
9453022280105
10144131221400
1156142353a01
1223b25307788
131078c7390ba
146d9417d46c
153b38767135
hex218ee3e798

144131221400 has 48 divisors (see below), whose sum is σ = 337324399440. Its totient is φ = 57270672000.

The previous prime is 144131221379. The next prime is 144131221411. The reversal of 144131221400 is 4122131441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356079 + ... + 2416478.

It is an arithmetic number, because the mean of its divisors is an integer number (7027591655).

Almost surely, 2144131221400 is an apocalyptic number.

144131221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131221400 is an abundant number, since it is smaller than the sum of its proper divisors (193193178040).

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

144131221400 is a wasteful number, since it uses less digits than its factorization.

144131221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772724 (or 4772715 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 144131221400 its reverse (4122131441), we get a palindrome (148253352841).

The spelling of 144131221400 in words is "one hundred forty-four billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 15100 30200 4772557 9545114 19090228 23862785 38180456 47725570 95451140 119313925 190902280 238627850 477255700 720656107 954511400 1441312214 2882624428 3603280535 5765248856 7206561070 14413122140 18016402675 28826244280 36032805350 72065610700 144131221400