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14224032101040 = 2435457129686653
BaseRepresentation
bin1100111011111100101001…
…1000010111001010110000
31212100210201020211212022020
43032333022120113022300
53331021304204213130
650130232524311440
72665436526654066
oct316771230271260
955323636755266
1014224032101040
114594418335013
1217188676a2580
137c24220cb848
14372638144036
15199eee0a4e10
hexcefca6172b0

14224032101040 has 80 divisors (see below), whose sum is σ = 44190986723808. Its totient is φ = 3784775251968.

The previous prime is 14224032101039. The next prime is 14224032101077. The reversal of 14224032101040 is 4010123042241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×142240321010402 (a number of 27 digits) contains 22 as substring.

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 14224032101040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64733647 + ... + 64953006.

Almost surely, 214224032101040 is an apocalyptic number.

14224032101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224032101040 is an abundant number, since it is smaller than the sum of its proper divisors (29966954622768).

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

14224032101040 is a wasteful number, since it uses less digits than its factorization.

14224032101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129687126 (or 129687120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14224032101040 its reverse (4010123042241), we get a palindrome (18234155143281).

The spelling of 14224032101040 in words is "fourteen trillion, two hundred twenty-four billion, thirty-two million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 457 914 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 13710 18280 21936 27420 36560 54840 109680 129686653 259373306 389059959 518746612 648433265 778119918 1037493224 1296866530 1556239836 1945299795 2074986448 2593733060 3112479672 3890599590 5187466120 6224959344 7781199180 10374932240 15562398360 31124796720 59266800421 118533600842 177800401263 237067201684 296334002105 355600802526 474134403368 592668004210 711201605052 889002006315 948268806736 1185336008420 1422403210104 1778004012630 2370672016840 2844806420208 3556008025260 4741344033680 7112016050520 14224032101040