Search a number
-
+
3134330120000 = 2654174609309
BaseRepresentation
bin101101100111000100101…
…000100010011101000000
3102002122020212002102000202
4231213010220202131000
5402323102002320000
610355520312104332
7442306423303022
oct55470450423500
912078225072022
103134330120000
11aa9297706082
124275549950a8
1319974883b701
14ab9b94ca012
15567e77dadd5
hex2d9c4a22740

3134330120000 has 140 divisors (see below), whose sum is σ = 8229305357460. Its totient is φ = 1179982848000.

The previous prime is 3134330119957. The next prime is 3134330120011. The reversal of 3134330120000 is 210334313.

It can be written as a sum of positive squares in 10 ways, for example, as 2765861695744 + 368468424256 = 1663088^2 + 607016^2 .

It is a super-2 number, since 2×31343301200002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1624655 + ... + 2984654.

Almost surely, 23134330120000 is an apocalyptic number.

It is an amenable number.

3134330120000 is an abundant number, since it is smaller than the sum of its proper divisors (5094975237460).

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

3134330120000 is an equidigital number, since it uses as much as digits as its factorization.

3134330120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609358 (or 4609333 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3134330120000 its reverse (210334313), we get a palindrome (3134540454313).

The spelling of 3134330120000 in words is "three trillion, one hundred thirty-four billion, three hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 20000 21250 27200 34000 40000 42500 68000 85000 136000 170000 340000 680000 4609309 9218618 18437236 23046545 36874472 46093090 73748944 78358253 92186180 115232725 147497888 156716506 184372360 230465450 294995776 313433012 368744720 391791265 460930900 576163625 626866024 737489440 783582530 921861800 1152327250 1253732048 1474978880 1567165060 1843723600 1958956325 2304654500 2507464096 2880818125 3134330120 3687447200 3917912650 4609309000 5014928192 5761636250 6268660240 7374894400 7835825300 9218618000 9794781625 11523272500 12537320480 15671650600 18437236000 19589563250 23046545000 25074640960 31343301200 36874472000 39179126500 46093090000 48973908125 62686602400 78358253000 92186180000 97947816250 125373204800 156716506000 184372360000 195895632500 313433012000 391791265000 626866024000 783582530000 1567165060000 3134330120000