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144412040040 = 23352663451909
BaseRepresentation
bin1000011001111110100…
…0001101101101101000
3111210202022201201212120
42012133220031231220
54331223440240130
6150201511111240
713301444041542
oct2063750155550
9453668651776
10144412040040
1156276917124
1223ba3372520
131080597c288
146dbd59c692
153b53237910
hex219fa0db68

144412040040 has 64 divisors (see below), whose sum is σ = 433399766400. Its totient is φ = 38495331072.

The previous prime is 144412039991. The next prime is 144412040081. The reversal of 144412040040 is 40040214441.

It is a happy number.

144412040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 93606 + ... + 545514.

It is an arithmetic number, because the mean of its divisors is an integer number (6771871350).

Almost surely, 2144412040040 is an apocalyptic number.

144412040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144412040040 is an abundant number, since it is smaller than the sum of its proper divisors (288987726360).

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

144412040040 is a wasteful number, since it uses less digits than its factorization.

144412040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454586 (or 454582 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144412040040 its reverse (40040214441), we get a palindrome (184452254481).

The spelling of 144412040040 in words is "one hundred forty-four billion, four hundred twelve million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2663 5326 7989 10652 13315 15978 21304 26630 31956 39945 53260 63912 79890 106520 159780 319560 451909 903818 1355727 1807636 2259545 2711454 3615272 4519090 5422908 6778635 9038180 10845816 13557270 18076360 27114540 54229080 1203433667 2406867334 3610301001 4813734668 6017168335 7220602002 9627469336 12034336670 14441204004 18051505005 24068673340 28882408008 36103010010 48137346680 72206020020 144412040040