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421146571417 = 1121310911321737
BaseRepresentation
bin1100010000011100100…
…10101011001010011001
31111021001102120111112121
412020032102223022121
523400002010241132
6521245544341241
742266255535505
oct6101622531231
91437042514477
10421146571417
11152675295500
1269755174821
13309387215b0
141655286b305
15ae4d149497
hex620e4ab299

421146571417 has 48 divisors (see below), whose sum is σ = 507570996240. Its totient is φ = 347052625920.

The previous prime is 421146571409. The next prime is 421146571423. The reversal of 421146571417 is 714175641124.

It can be written as a sum of positive squares in 8 ways, for example, as 171757198096 + 249389373321 = 414436^2 + 499389^2 .

It is not a de Polignac number, because 421146571417 - 23 = 421146571409 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (421146571457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19363773 + ... + 19385509.

It is an arithmetic number, because the mean of its divisors is an integer number (10574395755).

Almost surely, 2421146571417 is an apocalyptic number.

It is an amenable number.

421146571417 is a deficient number, since it is larger than the sum of its proper divisors (86424424823).

421146571417 is a wasteful number, since it uses less digits than its factorization.

421146571417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994 (or 21983 counting only the distinct ones).

The product of its digits is 188160, while the sum is 43.

The spelling of 421146571417 in words is "four hundred twenty-one billion, one hundred forty-six million, five hundred seventy-one thousand, four hundred seventeen".

Divisors: 1 11 13 109 113 121 143 1199 1243 1417 1469 1573 12317 13189 13673 15587 16159 21737 135487 160121 171457 177749 239107 282581 1490357 1761331 2369333 2456281 2630177 3108391 19374641 26062663 27019091 30801329 31931653 34192301 267734629 286689293 297210001 338814619 351248183 2945080919 3480550177 3726960809 3863730013 32395890109 38286051947 421146571417