Search a number
-
+
2144443143040 = 275111997152533
BaseRepresentation
bin11111001101001010110…
…001011001001110000000
321121000011221002210010121
4133031022301121032000
5240113304421034130
64321051002510024
7310634204651122
oct37151261311600
97530157083117
102144443143040
117574a9281070
122a7735805314
131272b27b3693
1475b12227212
153abadd0ad7a
hex1f34ac59380

2144443143040 has 128 divisors (see below), whose sum is σ = 5595447431520. Its totient is φ = 779401912320.

The previous prime is 2144443143023. The next prime is 2144443143043. The reversal of 2144443143040 is 403413444412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2144443142987 and 2144443143005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144443143043) by changing a digit.

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, 13982614 + ... + 14135146.

Almost surely, 22144443143040 is an apocalyptic number.

2144443143040 is a gapful number since it is divisible by the number (20) 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 2144443143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797723715760).

2144443143040 is an abundant number, since it is smaller than the sum of its proper divisors (3451004288480).

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

2144443143040 is a wasteful number, since it uses less digits than its factorization.

2144443143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154560 (or 154548 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 2144443143040 its reverse (403413444412), we get a palindrome (2547856587452).

The spelling of 2144443143040 in words is "two trillion, one hundred forty-four billion, four hundred forty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 1997 3520 3994 7040 7988 9985 15976 19970 21967 31952 39940 43934 63904 79880 87868 109835 127808 152533 159760 175736 219670 255616 305066 319520 351472 439340 610132 639040 702944 762665 878680 1220264 1278080 1405888 1525330 1677863 1757360 2440528 2811776 3050660 3355726 3514720 4881056 6101320 6711452 7029440 8389315 9762112 12202640 13422904 14058880 16778630 19524224 24405280 26845808 33557260 48810560 53691616 67114520 97621120 107383232 134229040 214766464 268458080 304608401 536916160 609216802 1073832320 1218433604 1523042005 2436867208 3046084010 3350692411 4873734416 6092168020 6701384822 9747468832 12184336040 13402769644 16753462055 19494937664 24368672080 26805539288 33506924110 38989875328 48737344160 53611078576 67013848220 97474688320 107222157152 134027696440 194949376640 214444314304 268055392880 428888628608 536110785760 1072221571520 2144443143040