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3005041340240 = 245371015216669
BaseRepresentation
bin101011101110101010011…
…010111110111101010000
3101122021112111102220011022
4223232222122332331100
5343213311040341430
610220255200535012
7430051503641042
oct53565232767520
911567474386138
103005041340240
11a5948154a275
12406492321468
1318a4b3104374
14a5632679a92
155327c1144e5
hex2bbaa6bef50

3005041340240 has 40 divisors (see below), whose sum is σ = 7175551423560. Its totient is φ = 1169529601536.

The previous prime is 3005041340239. The next prime is 3005041340267. The reversal of 3005041340240 is 420431405003.

It can be written as a sum of positive squares in 4 ways, for example, as 767719430416 + 2237321909824 = 876196^2 + 1495768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507605375 + ... + 507611294.

It is an arithmetic number, because the mean of its divisors is an integer number (179388785589).

Almost surely, 23005041340240 is an apocalyptic number.

It is an amenable number.

3005041340240 is an abundant number, since it is smaller than the sum of its proper divisors (4170510083320).

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

3005041340240 is a wasteful number, since it uses less digits than its factorization.

3005041340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015216719 (or 1015216713 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 3005041340240 its reverse (420431405003), we get a palindrome (3425472745243).

The spelling of 3005041340240 in words is "three trillion, five billion, forty-one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1015216669 2030433338 4060866676 5076083345 8121733352 10152166690 16243466704 20304333380 37563016753 40608666760 75126033506 81217333520 150252067012 187815083765 300504134024 375630167530 601008268048 751260335060 1502520670120 3005041340240