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144441212041400 = 23523532045909519
BaseRepresentation
bin100000110101111001010111…
…001000100111100010111000
3200221102110000102020020020212
4200311321113020213202320
5122413011100240311100
61231111213214210252
742265350612543341
oct4065712710474270
9627373012206225
10144441212041400
11420291a069395a
12142498117b3988
136279995048c81
142794dc5d430c8
1511a73a9e90635
hex835e572278b8

144441212041400 has 48 divisors (see below), whose sum is σ = 336777166087200. Its totient is φ = 57612812026880.

The previous prime is 144441212041391. The next prime is 144441212041421. The reversal of 144441212041400 is 4140212144441.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1022884160 + ... + 1023025359.

It is an arithmetic number, because the mean of its divisors is an integer number (7016190960150).

Almost surely, 2144441212041400 is an apocalyptic number.

144441212041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441212041400 is an abundant number, since it is smaller than the sum of its proper divisors (192335954045800).

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

144441212041400 is a wasteful number, since it uses less digits than its factorization.

144441212041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045909888 (or 2045909879 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 144441212041400 its reverse (4140212144441), we get a palindrome (148581424185841).

The spelling of 144441212041400 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twelve million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 7060 8825 14120 17650 35300 70600 2045909519 4091819038 8183638076 10229547595 16367276152 20459095190 40918190380 51147737975 81836380760 102295475950 204590951900 409181903800 722206060207 1444412120414 2888824240828 3611030301035 5777648481656 7222060602070 14444121204140 18055151505175 28888242408280 36110303010350 72220606020700 144441212041400