Search a number
-
+
11334356242000 = 245311737057507
BaseRepresentation
bin1010010011101111110001…
…0001110000111001010000
31111010112221202220122000221
42210323330101300321100
52441200230144221000
640034533102122424
72246610625303561
oct244737421607120
944115852818027
1011334356242000
11367a967681340
121330810b80414
13642a95c9982c
142b282b4ca168
15149c7513561a
hexa4efc470e50

11334356242000 has 160 divisors (see below), whose sum is σ = 30307536514944. Its totient is φ = 4065123456000.

The previous prime is 11334356241997. The next prime is 11334356242051. The reversal of 11334356242000 is 24265343311.

It is a happy number.

It is a congruent number.

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, 1922754 + ... + 5134753.

Almost surely, 211334356242000 is an apocalyptic number.

11334356242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11334356242000 is an abundant number, since it is smaller than the sum of its proper divisors (18973180272944).

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

11334356242000 is a wasteful number, since it uses less digits than its factorization.

11334356242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057614 (or 7057598 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 11334356242000 in words is "eleven trillion, three hundred thirty-four billion, three hundred fifty-six million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 125 146 176 200 220 250 275 292 365 400 440 500 550 584 730 803 880 1000 1100 1168 1375 1460 1606 1825 2000 2200 2750 2920 3212 3650 4015 4400 5500 5840 6424 7300 8030 9125 11000 12848 14600 16060 18250 20075 22000 29200 32120 36500 40150 64240 73000 80300 100375 146000 160600 200750 321200 401500 803000 1606000 7057507 14115014 28230028 35287535 56460056 70575070 77632577 112920112 141150140 155265154 176437675 282300280 310530308 352875350 388162885 515198011 564600560 621060616 705750700 776325770 882188375 1030396022 1242121232 1411501400 1552651540 1764376750 1940814425 2060792044 2575990055 2823002800 3105303080 3528753500 3881628850 4121584088 5151980110 5667178121 6210606160 7057507000 7763257700 8243168176 9704072125 10303960220 11334356242 12879950275 14115014000 15526515400 19408144250 20607920440 22668712484 25759900550 28335890605 31053030800 38816288500 41215840880 45337424968 51519801100 56671781210 64399751375 77632577000 90674849936 103039602200 113343562420 128799502750 141679453025 155265154000 206079204400 226687124840 257599005500 283358906050 453374249680 515198011000 566717812100 708397265125 1030396022000 1133435624200 1416794530250 2266871248400 2833589060500 5667178121000 11334356242000