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1242410504520 = 233561200384737
BaseRepresentation
bin10010000101000101011…
…011111101000101001000
311101202212201112222001010
4102011011123331011020
5130323424042121040
62350431104523520
7155522043020553
oct22050533750510
94352781488033
101242410504520
114399a3381929
121809549205a0
139020ab932b3
14441c0ccb69a
15224b8120e80
hex121456fd148

1242410504520 has 128 divisors (see below), whose sum is σ = 3790269728640. Its totient is φ = 325711626240.

The previous prime is 1242410504519. The next prime is 1242410504527. The reversal of 1242410504520 is 254050142421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1242410504527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14619592 + ... + 14704328.

It is an arithmetic number, because the mean of its divisors is an integer number (29611482255).

Almost surely, 21242410504520 is an apocalyptic number.

1242410504520 is a gapful number since it is divisible by the number (10) 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 1242410504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895134864320).

1242410504520 is an abundant number, since it is smaller than the sum of its proper divisors (2547859224120).

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

1242410504520 is a wasteful number, since it uses less digits than its factorization.

1242410504520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86815 (or 86811 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1242410504520 its reverse (254050142421), we get a palindrome (1496460646941).

The spelling of 1242410504520 in words is "one trillion, two hundred forty-two billion, four hundred ten million, five hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2003 2440 3660 4006 6009 7320 8012 10015 12018 16024 20030 24036 30045 40060 48072 60090 80120 84737 120180 122183 169474 240360 244366 254211 338948 366549 423685 488732 508422 610915 677896 733098 847370 977464 1016844 1221830 1271055 1466196 1694740 1832745 2033688 2443660 2542110 2932392 3389480 3665490 4887320 5084220 5168957 7330980 10168440 10337914 14661960 15506871 20675828 25844785 31013742 41351656 51689570 62027484 77534355 103379140 124054968 155068710 169728211 206758280 310137420 339456422 509184633 620274840 678912844 848641055 1018369266 1357825688 1697282110 2036738532 2545923165 3394564220 4073477064 5091846330 6789128440 10183692660 10353420871 20367385320 20706841742 31060262613 41413683484 51767104355 62120525226 82827366968 103534208710 124241050452 155301313065 207068417420 248482100904 310602626130 414136834840 621205252260 1242410504520