Search a number
-
+
12342113344000 = 29531117531411
BaseRepresentation
bin1011001110011001111101…
…0010000001101000000000
31121200220011002200200000001
42303212133102001220000
53104203122004002000
642125515534205344
72412455034320416
oct263463722015000
947626132620001
1012342113344000
113a29296251830
121473b98953854
136b6b1938154b
1430950bc4d2b6
151660a78b746a
hexb399f481a00

12342113344000 has 160 divisors (see below), whose sum is σ = 33573635739072. Its totient is φ = 4488040960000.

The previous prime is 12342113343839. The next prime is 12342113344007. The reversal of 12342113344000 is 44331124321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×123421133440002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12342113344000.

It is not an unprimeable number, because it can be changed into a prime (12342113344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8061706 + ... + 9469705.

Almost surely, 212342113344000 is an apocalyptic number.

12342113344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342113344000 is an abundant number, since it is smaller than the sum of its proper divisors (21231522395072).

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

12342113344000 is an equidigital number, since it uses as much as digits as its factorization.

12342113344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17531455 (or 17531429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12342113344000 its reverse (44331124321), we get a palindrome (12386444468321).

The spelling of 12342113344000 in words is "twelve trillion, three hundred forty-two billion, one hundred thirteen million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2560 2750 2816 3200 3520 4000 4400 5500 5632 6400 7040 8000 8800 11000 12800 14080 16000 17600 22000 28160 32000 35200 44000 64000 70400 88000 140800 176000 352000 704000 17531411 35062822 70125644 87657055 140251288 175314110 192845521 280502576 350628220 385691042 438285275 561005152 701256440 771382084 876570550 964227605 1122010304 1402512880 1542764168 1753141100 1928455210 2191426375 2244020608 2805025760 3085528336 3506282200 3856910420 4382852750 4488041216 4821138025 5610051520 6171056672 7012564400 7713820840 8765705500 8976082432 9642276050 11220103040 12342113344 14025128800 15427641680 17531411000 19284552100 22440206080 24105690125 24684226688 28050257600 30855283360 35062822000 38569104200 44880412160 48211380250 49368453376 56100515200 61710566720 70125644000 77138208400 96422760500 98736906752 112201030400 123421133440 140251288000 154276416800 192845521000 224402060800 246842266880 280502576000 308552833600 385691042000 493684533760 561005152000 617105667200 771382084000 1122010304000 1234211334400 1542764168000 2468422668800 3085528336000 6171056672000 12342113344000