Search a number
-
+
3342010111440 = 24357111321070087
BaseRepresentation
bin110000101000011111010…
…100110101010111010000
3102211111022102122002012120
4300220133110311113100
5414223414042031230
611035144231054240
7463311061144440
oct60503724652720
912744272562176
103342010111440
11107937a644540
1245b854511380
131b31c4cb8900
14b7a7b574120
155be000e8310
hex30a1f5355d0

3342010111440 has 480 divisors, whose sum is σ = 13986683652096. Its totient is φ = 641024317440.

The previous prime is 3342010111409. The next prime is 3342010111457. The reversal of 3342010111440 is 441110102433.

It is a super-2 number, since 2×33420101114402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3342010111440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2588077 + ... + 3658163.

Almost surely, 23342010111440 is an apocalyptic number.

3342010111440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342010111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993341826048).

3342010111440 is an abundant number, since it is smaller than the sum of its proper divisors (10644673540656).

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

3342010111440 is a wasteful number, since it uses less digits than its factorization.

3342010111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070147 (or 1070128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3342010111440 its reverse (441110102433), we get a palindrome (3783120213873).

The spelling of 3342010111440 in words is "three trillion, three hundred forty-two billion, ten million, one hundred eleven thousand, four hundred forty".