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14422525450240 = 21153474058933
BaseRepresentation
bin1101000111100000000110…
…0000011001100000000000
31220001210001121002202110011
43101320001200121200000
53342244313003401430
650401341113514304
73015664424413135
oct321700140314000
956053047082404
1014422525450240
114660616693166
12174b222712994
1380806623a46b
1437c0a80b058c
151a026a11922a
hexd1e01819800

14422525450240 has 96 divisors (see below), whose sum is σ = 34705346916240. Its totient is φ = 5752383373312.

The previous prime is 14422525450199. The next prime is 14422525450243. The reversal of 14422525450240 is 4205452522441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14422525450193 and 14422525450202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422525450243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1523814 + ... + 5582746.

Almost surely, 214422525450240 is an apocalyptic number.

14422525450240 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 14422525450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352673458120).

14422525450240 is an abundant number, since it is smaller than the sum of its proper divisors (20282821466000).

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

14422525450240 is an equidigital number, since it uses as much as digits as its factorization.

14422525450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059307 (or 4059287 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 14422525450240 its reverse (4205452522441), we get a palindrome (18627977972681).

The spelling of 14422525450240 in words is "fourteen trillion, four hundred twenty-two billion, five hundred twenty-five million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 347 512 640 694 1024 1280 1388 1735 2048 2560 2776 3470 5120 5552 6940 10240 11104 13880 22208 27760 44416 55520 88832 111040 177664 222080 355328 444160 710656 888320 1776640 3553280 4058933 8117866 16235732 20294665 32471464 40589330 64942928 81178660 129885856 162357320 259771712 324714640 519543424 649429280 1039086848 1298858560 1408449751 2078173696 2597717120 2816899502 4156347392 5195434240 5633799004 7042248755 8312694784 10390868480 11267598008 14084497510 20781736960 22535196016 28168995020 41563473920 45070392032 56337990040 90140784064 112675980080 180281568128 225351960160 360563136256 450703920320 721126272512 901407840640 1442252545024 1802815681280 2884505090048 3605631362560 7211262725120 14422525450240