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13134042144 = 2532193764871
BaseRepresentation
bin11000011101101100…
…11001010000100000
31020220100000110201100
430032312121100200
5203344303322034
610011140034400
7643321342026
oct141666312040
936810013640
1013134042144
11562a908293
122666692a00
1313140a4292
148c849c716
1551d0cd099
hex30ed99420

13134042144 has 144 divisors (see below), whose sum is σ = 40378927680. Its totient is φ = 4035432960.

The previous prime is 13134042143. The next prime is 13134042161. The reversal of 13134042144 is 44124043131.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13134042143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170029 + ... + 234899.

It is an arithmetic number, because the mean of its divisors is an integer number (280409220).

Almost surely, 213134042144 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 13134042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189463840).

13134042144 is an abundant number, since it is smaller than the sum of its proper divisors (27244885536).

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

13134042144 is a wasteful number, since it uses less digits than its factorization.

13134042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64943 (or 64932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13134042144 its reverse (44124043131), we get a palindrome (57258085275).

The spelling of 13134042144 in words is "thirteen billion, one hundred thirty-four million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 72 74 76 96 111 114 144 148 152 171 222 228 288 296 304 333 342 444 456 592 608 666 684 703 888 912 1184 1332 1368 1406 1776 1824 2109 2664 2736 2812 3552 4218 5328 5472 5624 6327 8436 10656 11248 12654 16872 22496 25308 33744 50616 64871 67488 101232 129742 194613 202464 259484 389226 518968 583839 778452 1037936 1167678 1232549 1556904 2075872 2335356 2400227 2465098 3113808 3697647 4670712 4800454 4930196 6227616 7200681 7395294 9341424 9600908 9860392 11092941 14401362 14790588 18682848 19201816 19720784 21602043 22185882 28802724 29581176 38403632 39441568 43204086 44371764 45604313 57605448 59162352 76807264 86408172 88743528 91208626 115210896 118324704 136812939 172816344 177487056 182417252 230421792 273625878 345632688 354974112 364834504 410438817 547251756 691265376 729669008 820877634 1094503512 1459338016 1641755268 2189007024 3283510536 4378014048 6567021072 13134042144