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4121431998 = 2337371191
BaseRepresentation
bin1111010110101000…
…0000111110111110
3101122020012102211120
43311222000332332
531420041310443
61520544331410
7204063410505
oct36552007676
911566172746
104121431998
111825493952
12970313b66
13508b2a378
142b152383c
15191c60083
hexf5a80fbe

4121431998 has 64 divisors (see below), whose sum is σ = 8636129280. Its totient is φ = 1310954400.

The previous prime is 4121431997. The next prime is 4121432039. The reversal of 4121431998 is 8991341214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121431997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21578083 + ... + 21578273.

It is an arithmetic number, because the mean of its divisors is an integer number (134939520).

Almost surely, 24121431998 is an apocalyptic number.

4121431998 is an abundant number, since it is smaller than the sum of its proper divisors (4514697282).

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

4121431998 is an equidigital number, since it uses as much as digits as its factorization.

4121431998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 304 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 4121431998 is about 64198.3800262904. The cubic root of 4121431998 is about 1603.3046280199.

The spelling of 4121431998 in words is "four billion, one hundred twenty-one million, four hundred thirty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 37 71 74 111 142 191 213 222 382 426 573 1146 1369 2627 2738 4107 5254 7067 7881 8214 13561 14134 15762 21201 27122 40683 42402 50653 81366 97199 101306 151959 194398 261479 291597 303918 501757 522958 583194 784437 1003514 1505271 1568874 3010542 3596363 7192726 9674723 10789089 18565009 19349446 21578178 29024169 37130018 55695027 58048338 111390054 686905333 1373810666 2060715999 4121431998