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421433374041 = 3417242432
BaseRepresentation
bin1100010000111110110…
…00101111010101011001
31111021210102020120210000
412020133120233111121
523401043420432131
6521334231443213
742306340400661
oct6103730572531
91437712216700
10421433374041
11152802175569
1269815226509
1330982c7b3a4
141657c9a71a1
15ae683ecce6
hex621f62f559

421433374041 has 45 divisors (see below), whose sum is σ = 668916913071. Its totient is φ = 264366462528.

The previous prime is 421433374013. The next prime is 421433374049. The reversal of 421433374041 is 140473334124.

The square root of 421433374041 is 649179.

It is a perfect power (a square), and thus also a powerful number.

421433374041 is a `hidden beast` number, since 4 + 214 + 3 + 3 + 37 + 404 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328105568025 + 93327806016 = 572805^2 + 305496^2 .

It is not a de Polignac number, because 421433374041 - 213 = 421433365849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 421433373987 and 421433374005.

It is not an unprimeable number, because it can be changed into a prime (421433374049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99322266 + ... + 99326508.

Almost surely, 2421433374041 is an apocalyptic number.

421433374041 is the 649179-th square number.

421433374041 is the 324590-th centered octagonal number.

It is an amenable number.

421433374041 is a deficient number, since it is larger than the sum of its proper divisors (247483539030).

421433374041 is an frugal number, since it uses more digits than its factorization.

421433374041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 421433374041 by its sum of digits (36), we get a square (15171601465476 = 38950742).

The spelling of 421433374041 in words is "four hundred twenty-one billion, four hundred thirty-three million, three hundred seventy-four thousand, forty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 4243 7803 12729 23409 38187 72131 114561 216393 343683 649179 1226227 1947537 3678681 5842611 11036043 18003049 33108129 54009147 99324387 162027441 306051833 486082323 918155499 1458246969 2754466497 5202881161 8263399491 15608643483 24790198473 46825930449 140477791347 421433374041