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13371344944128 = 210324493231367
BaseRepresentation
bin1100001010010100001001…
…0000111111110000000000
31202100021210000112020101200
43002211002100333300000
53223034003301203003
644234413331301200
72550022251503433
oct302450220776000
952307700466350
1013371344944128
1142958346a3536
1215bb55844a800
1375cbb27746a2
1434326863d81a
15182c455736a3
hexc294243fc00

13371344944128 has 132 divisors (see below), whose sum is σ = 38695470231600. Its totient is φ = 4447186845696.

The previous prime is 13371344944117. The next prime is 13371344944151. The reversal of 13371344944128 is 82144944317331.

13371344944128 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 134 + 4 + 94 + 412 + 8 = 666.

It is a super-2 number, since 2×133713449441282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2522301 + ... + 5753667.

Almost surely, 213371344944128 is an apocalyptic number.

13371344944128 is a gapful number since it is divisible by the number (18) 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 13371344944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347735115800).

13371344944128 is an abundant number, since it is smaller than the sum of its proper divisors (25324125287472).

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

13371344944128 is a wasteful number, since it uses less digits than its factorization.

13371344944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231842 (or 3231821 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13371344944128 in words is "thirteen trillion, three hundred seventy-one billion, three hundred forty-four million, nine hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 449 512 576 768 898 1024 1152 1347 1536 1796 2304 2694 3072 3592 4041 4608 5388 7184 8082 9216 10776 14368 16164 21552 28736 32328 43104 57472 64656 86208 114944 129312 172416 229888 258624 344832 459776 517248 689664 1034496 1379328 2068992 3231367 4137984 6462734 9694101 12925468 19388202 25850936 29082303 38776404 51701872 58164606 77552808 103403744 116329212 155105616 206807488 232658424 310211232 413614976 465316848 620422464 827229952 930633696 1240844928 1450883783 1654459904 1861267392 2481689856 2901767566 3308919808 3722534784 4352651349 4963379712 5803535132 7445069568 8705302698 9926759424 11607070264 13057954047 14890139136 17410605396 23214140528 26115908094 29780278272 34821210792 46428281056 52231816188 69642421584 92856562112 104463632376 139284843168 185713124224 208927264752 278569686336 371426248448 417854529504 557139372672 742852496896 835709059008 1114278745344 1485704993792 1671418118016 2228557490688 3342836236032 4457114981376 6685672472064 13371344944128