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13321341244044 = 22327137927295039
BaseRepresentation
bin1100000111011001110111…
…0100000001001010001100
31202011111201011202002012200
43001312131310001022030
53221224101324302134
644155423434401500
72543302153200321
oct301663564011214
952144634662180
1013321341244044
114276604933569
1215b1922290290
1375827400a782
14340a83628b48
151817ba6ec499
hexc1d9dd0128c

13321341244044 has 144 divisors (see below), whose sum is σ = 34257105792000. Its totient is φ = 4363888193280.

The previous prime is 13321341244037. The next prime is 13321341244121. The reversal of 13321341244044 is 44044214312331.

13321341244044 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 341 + 244 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2643645277 + ... + 2643650315.

It is an arithmetic number, because the mean of its divisors is an integer number (237896568000).

Almost surely, 213321341244044 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 13321341244044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128552896000).

13321341244044 is an abundant number, since it is smaller than the sum of its proper divisors (20935764547956).

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

13321341244044 is a wasteful number, since it uses less digits than its factorization.

13321341244044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13321341244044 its reverse (44044214312331), we get a palindrome (57365555556375).

The spelling of 13321341244044 in words is "thirteen trillion, three hundred twenty-one billion, three hundred forty-one million, two hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 379 426 639 758 852 1137 1278 1516 2274 2556 2729 3411 4548 5039 5458 6822 8187 10078 10916 13644 15117 16374 20156 24561 26909 30234 32748 45351 49122 53818 60468 80727 90702 98244 107636 161454 181404 193759 242181 322908 357769 387518 484362 581277 715538 775036 968724 1034291 1073307 1162554 1431076 1743831 1909781 2068582 2146614 2325108 3102873 3219921 3487662 3819562 4137164 4293228 5729343 6205746 6439842 6975324 7639124 9308619 11458686 12411492 12879684 13751431 17188029 18617238 22917372 27502862 34376058 37234476 41254293 55005724 68752116 73434661 82508586 123762879 135594451 146869322 165017172 220303983 247525758 271188902 293738644 406783353 440607966 495051516 542377804 660911949 813566706 881215932 976351601 1220350059 1321823898 1627133412 1952703202 2440700118 2643647796 2929054803 3905406404 4881400236 5211792349 5858109606 8787164409 10423584698 11716219212 15635377047 17574328818 20847169396 31270754094 35148657636 46906131141 62541508188 93812262282 187624524564 370037256779 740074513558 1110111770337 1480149027116 2220223540674 3330335311011 4440447081348 6660670622022 13321341244044