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14400212301120 = 263526715615957
BaseRepresentation
bin1101000110001100111110…
…0010011111010101000000
31212222122110112222100010210
43101203033202133111000
53341413113322113440
650343211033354120
73014244453651222
oct321431742372500
955878415870123
1014400212301120
114652106481a58
121746a35b68940
13805c1b565649
1437ad8c8d6412
1519e8b1280a80
hexd18cf89f540

14400212301120 has 112 divisors (see below), whose sum is σ = 45737799637248. Its totient is φ = 3838618245120.

The previous prime is 14400212301089. The next prime is 14400212301149. The reversal of 14400212301120 is 2110321200441.

It is a super-2 number, since 2×144002123011202 (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 15 ways as a sum of consecutive naturals, for example, 243819 + ... + 5372138.

Almost surely, 214400212301120 is an apocalyptic number.

14400212301120 is a gapful number since it is divisible by the number (10) 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 14400212301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868899818624).

14400212301120 is an abundant number, since it is smaller than the sum of its proper divisors (31337587336128).

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

14400212301120 is a wasteful number, since it uses less digits than its factorization.

14400212301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618648 (or 5618638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14400212301120 its reverse (2110321200441), we get a palindrome (16510533501561).

The spelling of 14400212301120 in words is "fourteen trillion, four hundred billion, two hundred twelve million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2671 5342 8013 10684 13355 16026 21368 26710 32052 40065 42736 53420 64104 80130 85472 106840 128208 160260 170944 213680 256416 320520 427360 512832 641040 854720 1282080 2564160 5615957 11231914 16847871 22463828 28079785 33695742 44927656 56159570 67391484 84239355 89855312 112319140 134782968 168478710 179710624 224638280 269565936 336957420 359421248 449276560 539131872 673914840 898553120 1078263744 1347829680 1797106240 2695659360 5391318720 15000221147 30000442294 45000663441 60000884588 75001105735 90001326882 120001769176 150002211470 180002653764 225003317205 240003538352 300004422940 360005307528 450006634410 480007076704 600008845880 720010615056 900013268820 960014153408 1200017691760 1440021230112 1800026537640 2400035383520 2880042460224 3600053075280 4800070767040 7200106150560 14400212301120