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1140043344432 = 243157337593757
BaseRepresentation
bin10000100101101111111…
…000001110101000110000
311000222122120200102121120
4100211233320032220300
5122134302044010212
62231421221222240
7145236223352646
oct20455770165060
94028576612546
101140043344432
113aa542824383
12164b46261980
1383675b25715
143d26d719196
151e9c619a88c
hex1096fe0ea30

1140043344432 has 160 divisors (see below), whose sum is σ = 2981611968192. Its totient is φ = 375342170112.

The previous prime is 1140043344421. The next prime is 1140043344487. The reversal of 1140043344432 is 2344433400411.

It is a junction number, because it is equal to n+sod(n) for n = 1140043344393 and 1140043344402.

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 31 ways as a sum of consecutive naturals, for example, 1506001398 + ... + 1506002154.

Almost surely, 21140043344432 is an apocalyptic number.

1140043344432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1140043344432 is an abundant number, since it is smaller than the sum of its proper divisors (1841568623760).

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

1140043344432 is a wasteful number, since it uses less digits than its factorization.

1140043344432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1140043344432 its reverse (2344433400411), we get a palindrome (3484476744843).

The spelling of 1140043344432 in words is "one trillion, one hundred forty billion, forty-three million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 337 471 593 628 674 757 942 1011 1186 1256 1348 1514 1779 1884 2022 2271 2372 2512 2696 3028 3558 3768 4044 4542 4744 5392 6056 7116 7536 8088 9084 9488 12112 14232 16176 18168 28464 36336 52909 93101 105818 118849 158727 186202 199841 211636 237698 255109 279303 317454 356547 372404 399682 423272 448901 475396 510218 558606 599523 634908 713094 744808 765327 799364 846544 897802 950792 1020436 1117212 1199046 1269816 1346703 1426188 1489616 1530654 1598728 1795604 1901584 2040872 2234424 2398092 2539632 2693406 2852376 3061308 3197456 3591208 4081744 4468848 4796184 5386812 5704752 6122616 7182416 9592368 10773624 12245232 21547248 31375037 40052113 62750074 70477457 80104226 94125111 120156339 125500148 140954914 151279637 160208452 188250222 211432371 240312678 251000296 281909828 302559274 320416904 376500444 422864742 453838911 480625356 502000592 563819656 605118548 640833808 753000888 845729484 907677822 961250712 1127639312 1210237096 1506001776 1691458968 1815355644 1922501424 2420474192 3382917936 3630711288 7261422576 23750903009 47501806018 71252709027 95003612036 142505418054 190007224072 285010836108 380014448144 570021672216 1140043344432