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4021421332131 = 327611933541349
BaseRepresentation
bin111010100001001111011…
…000111101011010100011
3112020102222202201010022200
4322201033120331122203
51011341332330112011
612315225423304243
7563352366220350
oct72411730753243
915212882633280
104021421332131
11131052555a545
1254b465a4b083
132322abab06a8
14dc8d02cb627
156e9168d1856
hex3a84f63d6a3

4021421332131 has 48 divisors (see below), whose sum is σ = 6750868363200. Its totient is φ = 2259110165760.

The previous prime is 4021421332127. The next prime is 4021421332139. The reversal of 4021421332131 is 1312331241204.

4021421332131 is a `hidden beast` number, since 4 + 0 + 21 + 421 + 3 + 3 + 213 + 1 = 666.

It is not a de Polignac number, because 4021421332131 - 22 = 4021421332127 is a prime.

It is a super-2 number, since 2×40214213321312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021421332095 and 4021421332104.

It is not an unprimeable number, because it can be changed into a prime (4021421332139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7157845 + ... + 7699193.

It is an arithmetic number, because the mean of its divisors is an integer number (140643090900).

Almost surely, 24021421332131 is an apocalyptic number.

4021421332131 is a deficient number, since it is larger than the sum of its proper divisors (2729447031069).

4021421332131 is a wasteful number, since it uses less digits than its factorization.

4021421332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543356 (or 543353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4021421332131 its reverse (1312331241204), we get a palindrome (5333752573335).

The spelling of 4021421332131 in words is "four trillion, twenty-one billion, four hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 1933 3843 5799 13531 17397 40593 117913 121779 353739 541349 825391 1061217 1624047 2476173 3789443 4872141 7428519 11368329 33022289 34104987 99066867 231156023 297200601 693468069 1046427617 2080404207 3139282851 7324993319 9417848553 21974979957 63832084637 65924939871 191496253911 446824592459 574488761733 1340473777377 4021421332131