Search a number
-
+
312212311132140 = 22345192723648847
BaseRepresentation
bin100011011111101001001011…
…1111001100100011111101100
31111221110012112202212200120000
41012333102113321210133230
5311410241303122212030
63024004204454424300
7122522411056366116
oct10677222771443754
91457405482780500
10312212311132140
11905315523042a1
122b024a07362090
1310529657873133
1457152295843b6
15261655a931860
hex11bf497e647ec

312212311132140 has 60 divisors (see below), whose sum is σ = 979421583445536. Its totient is φ = 83256616301472.

The previous prime is 312212311132097. The next prime is 312212311132229. The reversal of 312212311132140 is 41231113212213.

312212311132140 is a `hidden beast` number, since 3 + 1 + 2 + 21 + 2 + 311 + 1 + 321 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96361822804 + ... + 96361826043.

Almost surely, 2312212311132140 is an apocalyptic number.

312212311132140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312212311132140 is an abundant number, since it is smaller than the sum of its proper divisors (667209272313396).

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

312212311132140 is a wasteful number, since it uses less digits than its factorization.

312212311132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192723648868 (or 192723648857 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312212311132140 its reverse (41231113212213), we get a palindrome (353443424344353).

The spelling of 312212311132140 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred eleven million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 192723648847 385447297694 578170946541 770894595388 963618244235 1156341893082 1734512839623 1927236488470 2312683786164 2890854732705 3469025679246 3854472976940 5203538518869 5781709465410 6938051358492 8672564198115 10407077037738 11563418930820 15610615556607 17345128396230 20814154075476 26017692594345 31221231113214 34690256792460 52035385188690 62442462226428 78053077783035 104070770377380 156106155566070 312212311132140