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144041023404100 = 22521738399923803
BaseRepresentation
bin100000110000000100101010…
…000010000111100001000100
3200220000012001120201002112101
4200300010222002013201010
5122334432003442412400
61230203311015001444
742224422560341344
oct4060045202074104
9626005046632471
10144041023404100
114199450062a569
12141a4147369284
13624b019601534
14277d8a0ab8d24
15119bc86c3456a
hex83012a087844

144041023404100 has 72 divisors (see below), whose sum is σ = 314750512802880. Its totient is φ = 57215085002880.

The previous prime is 144041023404049. The next prime is 144041023404137. The reversal of 144041023404100 is 1404320140441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9552799 + ... + 19476601.

It is an arithmetic number, because the mean of its divisors is an integer number (4371534900040).

Almost surely, 2144041023404100 is an apocalyptic number.

144041023404100 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 144041023404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157375256401440).

144041023404100 is an abundant number, since it is smaller than the sum of its proper divisors (170709489398780).

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

144041023404100 is a wasteful number, since it uses less digits than its factorization.

144041023404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924829 (or 9924822 counting only the distinct ones).

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

Adding to 144041023404100 its reverse (1404320140441), we get a palindrome (145445343544541).

The spelling of 144041023404100 in words is "one hundred forty-four trillion, forty-one billion, twenty-three million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 839 865 1678 1730 3356 3460 4195 4325 8390 8650 16780 17300 20975 41950 83900 145147 290294 580588 725735 1451470 2902940 3628675 7257350 9923803 14514700 19847606 39695212 49619015 99238030 198476060 248095075 496190150 992380300 1716817919 3433635838 6867271676 8326070717 8584089595 16652141434 17168179190 33304282868 34336358380 41630353585 42920447975 83260707170 85840895950 166521414340 171681791900 208151767925 416303535850 832607071700 1440410234041 2880820468082 5761640936164 7202051170205 14404102340410 28808204680820 36010255851025 72020511702050 144041023404100