Search a number
-
+
13044421040 = 245737718867
BaseRepresentation
bin11000010011000001…
…00001000110110000
31020200002101020200012
430021200201012300
5203203332433130
65554215114052
7641152515020
oct141140410660
936602336605
1013044421040
115594265662
122640672928
1312cb655941
148ba60da80
155152c8995
hex3098211b0

13044421040 has 160 divisors (see below), whose sum is σ = 36103117824. Its totient is φ = 4289725440.

The previous prime is 13044421007. The next prime is 13044421057. The reversal of 13044421040 is 4012444031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13044420997 and 13044421015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466687 + ... + 1475553.

Almost surely, 213044421040 is an apocalyptic number.

13044421040 is a gapful number since it is divisible by the number (10) 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 13044421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051558912).

13044421040 is an abundant number, since it is smaller than the sum of its proper divisors (23058696784).

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

13044421040 is a wasteful number, since it uses less digits than its factorization.

13044421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13044421040 its reverse (4012444031), we get a palindrome (17056865071).

The spelling of 13044421040 in words is "thirteen billion, forty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 71 74 80 112 140 142 148 185 259 280 284 296 355 370 497 518 560 568 592 710 740 994 1036 1136 1295 1420 1480 1988 2072 2485 2590 2627 2840 2960 3976 4144 4970 5180 5254 5680 7952 8867 9940 10360 10508 13135 17734 18389 19880 20720 21016 26270 35468 36778 39760 42032 44335 52540 62069 70936 73556 88670 91945 105080 124138 141872 147112 177340 183890 210160 248276 294224 310345 328079 354680 367780 496552 620690 629557 656158 709360 735560 993104 1241380 1259114 1312316 1471120 1640395 2296553 2482760 2518228 2624632 3147785 3280790 4406899 4593106 4965520 5036456 5249264 6295570 6561580 8813798 9186212 10072912 11482765 12591140 13123160 17627596 18372424 22034495 22965530 23293609 25182280 26246320 35255192 36744848 44068990 45931060 46587218 50364560 70510384 88137980 91862120 93174436 116468045 163055263 176275960 183724240 186348872 232936090 326110526 352551920 372697744 465872180 652221052 815276315 931744360 1304442104 1630552630 1863488720 2608884208 3261105260 6522210520 13044421040