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4021430134144 = 27821187320431
BaseRepresentation
bin111010100001001111111…
…010100010010110000000
3112020110000101021022102011
4322201033322202112000
51011341342103243034
612315230340102304
7563352534100243
oct72411772422600
915213011238364
104021430134144
11131052a521635
1254b468994994
132322b0872b97
14dc8d153d25a
156e91756e864
hex3a84fea2580

4021430134144 has 64 divisors (see below), whose sum is σ = 8025876348480. Its totient is φ = 2007095500800.

The previous prime is 4021430134129. The next prime is 4021430134177. The reversal of 4021430134144 is 4414310341204.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40214301341442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196819609 + ... + 196840039.

It is an arithmetic number, because the mean of its divisors is an integer number (125404317945).

Almost surely, 24021430134144 is an apocalyptic number.

It is an amenable number.

4021430134144 is a deficient number, since it is larger than the sum of its proper divisors (4004446214336).

4021430134144 is a wasteful number, since it uses less digits than its factorization.

4021430134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23139 (or 23127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4021430134144 its reverse (4414310341204), we get a palindrome (8435740475348).

The spelling of 4021430134144 in words is "four trillion, twenty-one billion, four hundred thirty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 821 1642 1873 3284 3746 6568 7492 13136 14984 20431 26272 29968 40862 52544 59936 81724 105088 119872 163448 239744 326896 653792 1307584 1537733 2615168 3075466 6150932 12301864 16773851 24603728 33547702 38267263 49207456 67095404 76534526 98414912 134190808 153069052 196829824 268381616 306138104 536763232 612276208 1073526464 1224552416 2147052928 2449104832 4898209664 31417422923 62834845846 125669691692 251339383384 502678766768 1005357533536 2010715067072 4021430134144