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14052422040 = 2335197978017
BaseRepresentation
bin11010001011001011…
…01111000110011000
31100021100010000002120
431011211233012120
5212234410001130
610242224101240
71005142421316
oct150545570630
940240100076
1014052422040
115a61253738
122882164820
13142c434837
149744410b6
15573a3a910
hex34596f198

14052422040 has 128 divisors (see below), whose sum is σ = 44938368000. Its totient is φ = 3505102848.

The previous prime is 14052422039. The next prime is 14052422053. The reversal of 14052422040 is 4022425041.

It is a happy number.

14052422040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14052422040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141112 + ... + 219128.

It is an arithmetic number, because the mean of its divisors is an integer number (351081000).

Almost surely, 214052422040 is an apocalyptic number.

14052422040 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 14052422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469184000).

14052422040 is an abundant number, since it is smaller than the sum of its proper divisors (30885945960).

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

14052422040 is a wasteful number, since it uses less digits than its factorization.

14052422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78129 (or 78125 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14052422040 its reverse (4022425041), we get a palindrome (18074847081).

The spelling of 14052422040 in words is "fourteen billion, fifty-two million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 79 95 114 120 152 158 190 228 237 285 316 380 395 456 474 570 632 760 790 948 1140 1185 1501 1580 1896 2280 2370 3002 3160 4503 4740 6004 7505 9006 9480 12008 15010 18012 22515 30020 36024 45030 60040 78017 90060 156034 180120 234051 312068 390085 468102 624136 780170 936204 1170255 1482323 1560340 1872408 2340510 2964646 3120680 4446969 4681020 5929292 6163343 7411615 8893938 9362040 11858584 12326686 14823230 17787876 18490029 22234845 24653372 29646460 30816715 35575752 36980058 44469690 49306744 59292920 61633430 73960116 88939380 92450145 117103517 123266860 147920232 177878760 184900290 234207034 246533720 351310551 369800580 468414068 585517585 702621102 739601160 936828136 1171035170 1405242204 1756552755 2342070340 2810484408 3513105510 4684140680 7026211020 14052422040