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512452204240144 = 24766591576743579
BaseRepresentation
bin111010010000100101001001…
…1100110010001110100010000
32111012102221201012201021212111
41310201022103212101310100
51014132004103241141034
65013521143114035104
7212640310224543160
oct16441122346216420
92435387635637774
10512452204240144
11139312839768293
1249584806418a94
1318cc3060018c1c
149078b675905a0
153e3a0d0365364
hex1d21293991d10

512452204240144 has 80 divisors (see below), whose sum is σ = 1134984020659200. Its totient is φ = 219570426248832.

The previous prime is 512452204240133. The next prime is 512452204240153. The reversal of 512452204240144 is 441042402254215.

It is a super-4 number, since 4×5124522042401444 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 512452204240097 and 512452204240106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11759132947 + ... + 11759176525.

It is an arithmetic number, because the mean of its divisors is an integer number (14187300258240).

Almost surely, 2512452204240144 is an apocalyptic number.

It is an amenable number.

512452204240144 is an abundant number, since it is smaller than the sum of its proper divisors (622531816419056).

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

512452204240144 is a wasteful number, since it uses less digits than its factorization.

512452204240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66020 (or 66014 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 512452204240144 its reverse (441042402254215), we get a palindrome (953494606494359).

The spelling of 512452204240144 in words is "five hundred twelve trillion, four hundred fifty-two billion, two hundred four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 6659 13318 15767 26636 31534 43579 46613 53272 63068 87158 93226 106544 110369 126136 174316 186452 220738 252272 305053 348632 372904 441476 610106 697264 745808 882952 1220212 1765904 2440424 4880848 104992453 209984906 290192561 419969812 580385122 687110093 734947171 839939624 1160770244 1374220186 1469894342 1679879248 2031347927 2321540488 2748440372 2939788684 4062695854 4643080976 4809770651 5496880744 5879577368 8125391708 9619541302 10993761488 11759154736 16250783416 19239082604 32501566832 38478165208 76956330416 4575466109287 9150932218574 18301864437148 32028262765009 36603728874296 64056525530018 73207457748592 128113051060036 256226102120072 512452204240144