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14401132422120 = 2332587745613621
BaseRepresentation
bin1101000110010000011001…
…1000011110001111101000
31212222201211200100022212100
43101210012120132033220
53341422004400001440
650343442223013400
73014306325601563
oct321440630361750
955881750308770
1014401132422120
1146525388a7534
12174705213a260
13806037085542
1437b038bad4da
1519e916e34230
hexd190661e3e8

14401132422120 has 96 divisors (see below), whose sum is σ = 46857049335720. Its totient is φ = 3835922987520.

The previous prime is 14401132422107. The next prime is 14401132422161. The reversal of 14401132422120 is 2122423110441.

14401132422120 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 113 + 2 + 422 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13639977378756 + 761155043364 = 3693234^2 + 872442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22491091 + ... + 23122530.

Almost surely, 214401132422120 is an apocalyptic number.

14401132422120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401132422120 is an abundant number, since it is smaller than the sum of its proper divisors (32455916913600).

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

14401132422120 is a wasteful number, since it uses less digits than its factorization.

14401132422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45614515 (or 45614508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14401132422120 its reverse (2122423110441), we get a palindrome (16523555532561).

The spelling of 14401132422120 in words is "fourteen trillion, four hundred one billion, one hundred thirty-two million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 877 1754 2631 3508 4385 5262 7016 7893 8770 10524 13155 15786 17540 21048 26310 31572 35080 39465 52620 63144 78930 105240 157860 315720 45613621 91227242 136840863 182454484 228068105 273681726 364908968 410522589 456136210 547363452 684204315 821045178 912272420 1094726904 1368408630 1642090356 1824544840 2052612945 2736817260 3284180712 4105225890 5473634520 8210451780 16420903560 40003145617 80006291234 120009436851 160012582468 200015728085 240018873702 320025164936 360028310553 400031456170 480037747404 600047184255 720056621106 800062912340 960075494808 1200094368510 1440113242212 1600125824680 1800141552765 2400188737020 2880226484424 3600283105530 4800377474040 7200566211060 14401132422120