Search a number
-
+
3002242513401 = 338310315186137
BaseRepresentation
bin101011101100000011100…
…110010011100111111001
3101122000022102221202112000
4223230003212103213321
5343142043040412101
610215113340211213
7426622240210035
oct53540346234771
911560272852460
103002242513401
11a582756a323a
12405a30b39b09
1318a1582c8101
14a5448a7d1c5
155316655c486
hex2bb039939f9

3002242513401 has 64 divisors (see below), whose sum is σ = 4575209533440. Its totient is φ = 1945192060800.

The previous prime is 3002242513349. The next prime is 3002242513409. The reversal of 3002242513401 is 1043152422003.

3002242513401 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 2 + 4 + 251 + 3 + 401 = 666.

It is not a de Polignac number, because 3002242513401 - 210 = 3002242512377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3002242513409) 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 63 ways as a sum of consecutive naturals, for example, 34811205 + ... + 34897341.

It is an arithmetic number, because the mean of its divisors is an integer number (71487648960).

Almost surely, 23002242513401 is an apocalyptic number.

It is an amenable number.

3002242513401 is a deficient number, since it is larger than the sum of its proper divisors (1572967020039).

3002242513401 is a wasteful number, since it uses less digits than its factorization.

3002242513401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86483 (or 86477 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3002242513401 its reverse (1043152422003), we get a palindrome (4045394935404).

The spelling of 3002242513401 in words is "three trillion, two billion, two hundred forty-two million, five hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 27 83 103 151 249 309 453 747 927 1359 2241 2781 4077 8549 12533 15553 25647 37599 46659 76941 86137 112797 139977 230823 258411 338391 419931 775233 1290899 2325699 3872697 7149371 8872111 11618091 13006687 21448113 26616333 34854273 39020061 64344339 79848999 117060183 193033017 239546997 351180549 736385213 1079555021 1339688761 2209155639 3238665063 4019066283 6627466917 9715995189 12057198849 19882400751 29147985567 36171596547 111194167163 333582501489 1000747504467 3002242513401