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24242013004001 = 1325921111522521
BaseRepresentation
bin1011000001100010010001…
…00100101110000011100001
310011211111212120022121221112
411200301020210232003201
511134140120312112001
6123320343234433105
75051266452435122
oct540611044560341
9104744776277845
1024242013004001
1177a6a86397611
122876321132795
13106b02052c200
145db46932c049
152c08cc87ccbb
hex160c4892e0e1

24242013004001 has 24 divisors (see below), whose sum is σ = 26821665810720. Its totient is φ = 21893709801600.

The previous prime is 24242013003977. The next prime is 24242013004019. The reversal of 24242013004001 is 10040031024242.

It is a de Polignac number, because none of the positive numbers 2k-24242013004001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24242013004021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657380 + ... + 7865141.

It is an arithmetic number, because the mean of its divisors is an integer number (1117569408780).

Almost surely, 224242013004001 is an apocalyptic number.

It is an amenable number.

24242013004001 is a deficient number, since it is larger than the sum of its proper divisors (2579652806719).

24242013004001 is a wasteful number, since it uses less digits than its factorization.

24242013004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522817 (or 11522804 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24242013004001 its reverse (10040031024242), we get a palindrome (34282044028243).

The spelling of 24242013004001 in words is "twenty-four trillion, two hundred forty-two billion, thirteen million, four thousand, one".

Divisors: 1 13 59 169 211 767 2743 9971 12449 35659 161837 2103881 11522521 149792773 679828739 1947306049 2431251931 8837773607 31606275103 114891056891 143443863929 410881576339 1864770231077 24242013004001