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13144279881216 = 293111375678483
BaseRepresentation
bin1011111101000110010000…
…1000100001011000000000
31201112120200110112220022210
42333101210020201120000
53210323441122144331
643542222051102120
72524433336351451
oct277214410413000
951476613486283
1013144279881216
11420850435aa50
1215835488a1940
137446671443b3
14336287c21128
1517bda5eb6446
hexbf464221600

13144279881216 has 160 divisors (see below), whose sum is σ = 38479406410368. Its totient is φ = 3954040586240.

The previous prime is 13144279881211. The next prime is 13144279881259. The reversal of 13144279881216 is 61218897244131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144279881211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524490 + ... + 5153993.

Almost surely, 213144279881216 is an apocalyptic number.

13144279881216 is a gapful number since it is divisible by the number (16) 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 13144279881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239703205184).

13144279881216 is an abundant number, since it is smaller than the sum of its proper divisors (25335126529152).

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

13144279881216 is a wasteful number, since it uses less digits than its factorization.

13144279881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678652 (or 5678636 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 13144279881216 in words is "thirteen trillion, one hundred forty-four billion, two hundred seventy-nine million, eight hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 137 176 192 256 264 274 352 384 411 512 528 548 704 768 822 1056 1096 1408 1507 1536 1644 2112 2192 2816 3014 3288 4224 4384 4521 5632 6028 6576 8448 8768 9042 12056 13152 16896 17536 18084 24112 26304 35072 36168 48224 52608 70144 72336 96448 105216 144672 192896 210432 289344 385792 578688 771584 1157376 2314752 5678483 11356966 17035449 22713932 34070898 45427864 62463313 68141796 90855728 124926626 136283592 181711456 187389939 249853252 272567184 363422912 374779878 499706504 545134368 726845824 749559756 777952171 999413008 1090268736 1453691648 1499119512 1555904342 1998826016 2180537472 2333856513 2907383296 2998239024 3111808684 3997652032 4361074944 4667713026 5996478048 6223617368 7995304064 8557473881 8722149888 9335426052 11992956096 12447234736 15990608128 17114947762 18670852104 23985912192 24894469472 25672421643 31981216256 34229895524 37341704208 47971824384 49788938944 51344843286 68459791048 74683408416 95943648768 99577877888 102689686572 136919582096 149366816832 199155755776 205379373144 273839164192 298733633664 398311511552 410758746288 547678328384 597467267328 821517492576 1095356656768 1194934534656 1643034985152 2190713313536 3286069970304 4381426627072 6572139940608 13144279881216