Search a number
-
+
144034011231420 = 223531193340060859
BaseRepresentation
bin100000101111111110001000…
…000100110011010010111100
3200212222111221220001210222010
4200233332020010303102330
5122334323123333401140
61230200151123451220
742224054033013252
oct4057761004632274
9625874856053863
10144034011231420
1141991532421432
12141a290ab26b10
13624a46c925b2b
14277d3d76b05d2
15119b9c6313880
hex82ff881334bc

144034011231420 has 96 divisors (see below), whose sum is σ = 416520132618240. Its totient is φ = 37150837274880.

The previous prime is 144034011231413. The next prime is 144034011231433. The reversal of 144034011231420 is 24132110430441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 16435050 + ... + 23625809.

It is an arithmetic number, because the mean of its divisors is an integer number (4338751381440).

Almost surely, 2144034011231420 is an apocalyptic number.

144034011231420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034011231420 is an abundant number, since it is smaller than the sum of its proper divisors (272486121386820).

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

144034011231420 is a wasteful number, since it uses less digits than its factorization.

144034011231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40062835 (or 40062833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144034011231420 its reverse (24132110430441), we get a palindrome (168166121661861).

The spelling of 144034011231420 in words is "one hundred forty-four trillion, thirty-four billion, eleven million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1933 3866 5799 7732 9665 11598 19330 23196 28995 38660 57990 59923 115980 119846 179769 239692 299615 359538 599230 719076 898845 1198460 1797690 3595380 40060859 80121718 120182577 160243436 200304295 240365154 400608590 480730308 600912885 801217180 1201825770 1241886629 2403651540 2483773258 3725659887 4967546516 6209433145 7451319774 12418866290 14902639548 18628299435 24837732580 37256598870 74513197740 77437640447 154875280894 232312921341 309750561788 387188202235 464625842682 774376404470 929251685364 1161564606705 1548752808940 2323129213410 2400566853857 4646258426820 4801133707714 7201700561571 9602267415428 12002834269285 14403401123142 24005668538570 28806802246284 36008502807855 48011337077140 72017005615710 144034011231420