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20201240441420 = 225172912971579651
BaseRepresentation
bin1001001011111011101111…
…10000101011001001001100
32122112012221011212010212222
410211331313300223021030
510121434120023111140
6110544153255114512
74153330366401113
oct445756760531114
978465834763788
1020201240441420
116489330647235
122323176672a38
13b36c795b6acc
144dba60d98c7a
152507321835b5
hex125f77c2b24c

20201240441420 has 96 divisors (see below), whose sum is σ = 46502806553280. Its totient is φ = 7337259417600.

The previous prime is 20201240441407. The next prime is 20201240441453. The reversal of 20201240441420 is 2414404210202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20201240441420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11998595 + ... + 13578245.

It is an arithmetic number, because the mean of its divisors is an integer number (484404234930).

Almost surely, 220201240441420 is an apocalyptic number.

20201240441420 is a gapful number since it is divisible by the number (20) 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 20201240441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23251403276640).

20201240441420 is an abundant number, since it is smaller than the sum of its proper divisors (26301566111860).

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

20201240441420 is a wasteful number, since it uses less digits than its factorization.

20201240441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581003 (or 1581001 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 20201240441420 its reverse (2414404210202), we get a palindrome (22615644651622).

The spelling of 20201240441420 in words is "twenty trillion, two hundred one billion, two hundred forty million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1297 1972 2465 2594 4930 5188 6485 9860 12970 22049 25940 37613 44098 75226 88196 110245 150452 188065 220490 376130 440980 639421 752260 1278842 1579651 2557684 3159302 3197105 6318604 6394210 7898255 12788420 15796510 26854067 31593020 45809879 53708134 91619758 107416268 134270335 183239516 229049395 268540670 458098790 537081340 778767943 916197580 1557535886 2048807347 3115071772 3893839715 4097614694 7787679430 8195229388 10244036735 15575358860 20488073470 34829724899 40976146940 59415413063 69659449798 118830826126 139318899596 174148624495 237661652252 297077065315 348297248990 594154130630 696594497980 1010062022071 1188308261260 2020124044142 4040248088284 5050310110355 10100620220710 20201240441420