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13045144944 = 24313191816079
BaseRepresentation
bin11000010011000110…
…10001110101110000
31020200010202000200110
430021203101311300
5203204024114234
65554242421320
7641161621356
oct141143216560
936603660613
1013045144944
11559470a527
122640961840
1312cb84a2a0
148ba75b7d6
155153bd1e9
hex3098d1d70

13045144944 has 160 divisors (see below), whose sum is σ = 38419763200. Its totient is φ = 3781002240.

The previous prime is 13045144933. The next prime is 13045144969. The reversal of 13045144944 is 44944154031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142897 + ... + 2148975.

It is an arithmetic number, because the mean of its divisors is an integer number (240123520).

Almost surely, 213045144944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045144944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209881600).

13045144944 is an abundant number, since it is smaller than the sum of its proper divisors (25374618256).

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

13045144944 is a wasteful number, since it uses less digits than its factorization.

13045144944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 13045144944 its reverse (44944154031), we get a palindrome (57989298975).

The spelling of 13045144944 in words is "thirteen billion, forty-five million, one hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 181 208 228 247 304 312 362 456 494 543 624 724 741 912 988 1086 1448 1482 1976 2172 2353 2896 2964 3439 3952 4344 4706 5928 6079 6878 7059 8688 9412 10317 11856 12158 13756 14118 18237 18824 20634 24316 27512 28236 36474 37648 41268 44707 48632 55024 56472 72948 79027 82536 89414 97264 112944 115501 134121 145896 158054 165072 178828 231002 237081 268242 291792 316108 346503 357656 462004 474162 536484 632216 693006 715312 924008 948324 1072968 1100299 1264432 1386012 1501513 1848016 1896648 2145936 2200598 2772024 3003026 3300897 3793296 4401196 4504539 5544048 6006052 6601794 8802392 9009078 12012104 13203588 14303887 17604784 18018156 20905681 24024208 26407176 28607774 36036312 41811362 42911661 52814352 57215548 62717043 72072624 83622724 85823322 114431096 125434086 167245448 171646644 228862192 250868172 271773853 334490896 343293288 501736344 543547706 686586576 815321559 1003472688 1087095412 1630643118 2174190824 3261286236 4348381648 6522572472 13045144944