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144142044020 = 225131572735251
BaseRepresentation
bin1000011000111110001…
…0010000101101110100
3111210001111200111221222
42012033202100231310
54330200330402040
6150115024125512
713261655105252
oct2061742205564
9453044614858
10144142044020
1156148476117
1223b28a66898
1310791a58210
146d957995d2
153b396a3bb5
hex218f890b74

144142044020 has 48 divisors (see below), whose sum is σ = 326012752128. Its totient is φ = 53216784000.

The previous prime is 144142044001. The next prime is 144142044029. The reversal of 144142044020 is 20440241441.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144142044029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4071395 + ... + 4106645.

It is an arithmetic number, because the mean of its divisors is an integer number (6791932336).

Almost surely, 2144142044020 is an apocalyptic number.

144142044020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144142044020 is an abundant number, since it is smaller than the sum of its proper divisors (181870708108).

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

144142044020 is a wasteful number, since it uses less digits than its factorization.

144142044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51000 (or 50998 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 144142044020 its reverse (20440241441), we get a palindrome (164582285461).

The spelling of 144142044020 in words is "one hundred forty-four billion, one hundred forty-two million, forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15727 31454 35251 62908 70502 78635 141004 157270 176255 204451 314540 352510 408902 458263 705020 817804 916526 1022255 1833052 2044510 2291315 4089020 4582630 9165260 554392477 1108784954 2217569908 2771962385 5543924770 7207102201 11087849540 14414204402 28828408804 36035511005 72071022010 144142044020