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14225149440 = 29325617411
BaseRepresentation
bin11010011111110001…
…01000111000000000
31100201101010110112200
431033320220320000
5213113114240230
610311314153200
71012340526615
oct151770507000
940641113480
1014225149440
11603a7a9357
12290bb82800
1314591603b8
1498d36450c
15583ca9160
hex34fe28e00

14225149440 has 120 divisors (see below), whose sum is σ = 49265773128. Its totient is φ = 3793367040.

The previous prime is 14225149429. The next prime is 14225149481. The reversal of 14225149440 is 4494152241.

14225149440 is a `hidden beast` number, since 14 + 2 + 2 + 514 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 14225149395 and 14225149404.

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, 285666 + ... + 331745.

Almost surely, 214225149440 is an apocalyptic number.

14225149440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14225149440 is an abundant number, since it is smaller than the sum of its proper divisors (35040623688).

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

14225149440 is an equidigital number, since it uses as much as digits as its factorization.

14225149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617440 (or 617421 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14225149440 in words is "fourteen billion, two hundred twenty-five million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 617411 1234822 1852233 2469644 3087055 3704466 4939288 5556699 6174110 7408932 9261165 9878576 11113398 12348220 14817864 18522330 19757152 22226796 24696440 27783495 29635728 37044660 39514304 44453592 49392880 55566990 59271456 74089320 79028608 88907184 98785760 111133980 118542912 148178640 158057216 177814368 197571520 222267960 237085824 296357280 316114432 355628736 395143040 444535920 474171648 592714560 711257472 790286080 889071840 948343296 1185429120 1422514944 1580572160 1778143680 2370858240 2845029888 3556287360 4741716480 7112574720 14225149440