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2413411034004 = 2233128231742681
BaseRepresentation
bin100011000111101010100…
…000011110001110010100
322112201102202122100002000
4203013222200132032110
5304020131211042004
65044412234115300
7336235401212415
oct43075240361624
98481382570060
102413411034004
1185058167a563
1232b89a57bb30
1314677847a099
1484b49c1580c
1542ba1e6ac39
hex231ea81e394

2413411034004 has 48 divisors (see below), whose sum is σ = 6257483111040. Its totient is φ = 804407146560.

The previous prime is 2413411033993. The next prime is 2413411034077. The reversal of 2413411034004 is 4004301143142.

2413411034004 is a `hidden beast` number, since 24 + 134 + 1 + 103 + 400 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 513544 + ... + 2256224.

It is an arithmetic number, because the mean of its divisors is an integer number (130364231480).

Almost surely, 22413411034004 is an apocalyptic number.

It is an amenable number.

2413411034004 is an abundant number, since it is smaller than the sum of its proper divisors (3844072077036).

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

2413411034004 is a wasteful number, since it uses less digits than its factorization.

2413411034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755517 (or 1755509 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2413411034004 its reverse (4004301143142), we get a palindrome (6417712177146).

The spelling of 2413411034004 in words is "two trillion, four hundred thirteen billion, four hundred eleven million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 12823 25646 38469 51292 76938 115407 153876 230814 346221 461628 692442 1384884 1742681 3485362 5228043 6970724 10456086 15684129 20912172 31368258 47052387 62736516 94104774 188209548 22346398463 44692796926 67039195389 89385593852 134078390778 201117586167 268156781556 402235172334 603352758501 804470344668 1206705517002 2413411034004