Search a number
-
+
99991444419999 = 32112116217901171
BaseRepresentation
bin10110101111000100010010…
…100001100111010110011111
3111010001002101200111000220100
4112233010102201213112133
5101101224434232414444
6552355234014552143
730030100131000306
oct2657042241472637
9433032350430810
1099991444419999
1129951151670300
12b26b018508653
1343a41ca78a882
141a9987c84543d
15b8601862ce69
hex5af11286759f

99991444419999 has 36 divisors (see below), whose sum is σ = 158769610881336. Its totient is φ = 60595652964000.

The previous prime is 99991444419961. The next prime is 99991444420019.

99991444419999 is a `hidden beast` number, since 9 + 9 + 99 + 14 + 4 + 4 + 419 + 9 + 99 = 666.

99991444419999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99991444419999 - 229 = 99990907549087 is a prime.

It is a super-2 number, since 2×999914444199992 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99991444409999) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8704684 + ... + 16605854.

It is an arithmetic number, because the mean of its divisors is an integer number (4410266968926).

Almost surely, 299991444419999 is an apocalyptic number.

99991444419999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99991444419999 is a deficient number, since it is larger than the sum of its proper divisors (58778166461337).

99991444419999 is a wasteful number, since it uses less digits than its factorization.

99991444419999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912820 (or 7912806 counting only the distinct ones).

The product of its digits is 11019960576, while the sum is 90.

The spelling of 99991444419999 in words is "ninety-nine trillion, nine hundred ninety-one billion, four hundred forty-four million, four hundred nineteen thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 11621 34863 104589 127831 383493 1150479 1406141 4218423 7901171 12655269 23703513 71110539 86912881 260738643 782215929 956041691 2868125073 8604375219 91819508191 275458524573 826375573719 1010014590101 3030043770303 9090131310909 11110160491111 33330481473333 99991444419999