Search a number
-
+
512141112435042 = 23319592784218471
BaseRepresentation
bin111010001110010100010010…
…1000101001110000101100010
32111011100012201200121011222000
41310130220211011032011202
51014111404444240410132
65013122213513024430
7212605655124043356
oct16434504505160542
92434305650534860
10512141112435042
1113920290a529712
12495344663b5116
1318c9c91325b23c
149067a952c1466
153e31e7403087c
hex1d1ca2514e162

512141112435042 has 64 divisors (see below), whose sum is σ = 1198193044838400. Its totient is φ = 161701483643280.

The previous prime is 512141112435019. The next prime is 512141112435077. The reversal of 512141112435042 is 240534211141215.

512141112435042 is a `hidden beast` number, since 5 + 1 + 2 + 14 + 11 + 124 + 3 + 504 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 512141112434988 and 512141112435006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36028134 + ... + 48190337.

It is an arithmetic number, because the mean of its divisors is an integer number (18721766325600).

Almost surely, 2512141112435042 is an apocalyptic number.

512141112435042 is an abundant number, since it is smaller than the sum of its proper divisors (686051932403358).

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

512141112435042 is a wasteful number, since it uses less digits than its factorization.

512141112435042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84224428 (or 84224422 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 512141112435042 its reverse (240534211141215), we get a palindrome (752675323576257).

The spelling of 512141112435042 in words is "five hundred twelve trillion, one hundred forty-one billion, one hundred twelve million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 5927 11854 17781 35562 53343 106686 112613 160029 225226 320058 337839 675678 1013517 2027034 3040551 6081102 84218471 168436942 252655413 505310826 757966239 1515932478 1600150949 2273898717 3200301898 4547797434 4800452847 9600905694 14401358541 28802717082 43204075623 86408151246 499162877617 998325755234 1497488632851 2994977265702 4492465898553 8984931797106 9484094674723 13477397695659 18968189349446 26954795391318 28452284024169 56904568048338 85356852072507 170713704145014 256070556217521 512141112435042