Search a number
-
+
11352442242000 = 243532776830591
BaseRepresentation
bin1010010100110011001001…
…0010011000001111010000
31111012021122012220121212210
42211030302102120033100
52441444300203221000
640051123455552120
72251121046621546
oct245146222301720
944167565817783
1011352442242000
1136875a8762882
121334219b2b640
136446b8c7b492
142b3665501d96
1514a482d2a350
hexa53324983d0

11352442242000 has 160 divisors (see below), whose sum is σ = 36732410118144. Its totient is φ = 3016388544000.

The previous prime is 11352442241963. The next prime is 11352442242017. The reversal of 11352442242000 is 24224425311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1753296 + ... + 5077295.

Almost surely, 211352442242000 is an apocalyptic number.

11352442242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11352442242000 is an abundant number, since it is smaller than the sum of its proper divisors (25379967876144).

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

11352442242000 is a wasteful number, since it uses less digits than its factorization.

11352442242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830894 (or 6830878 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 11352442242000 its reverse (24224425311), we get a palindrome (11376666667311).

The spelling of 11352442242000 in words is "eleven trillion, three hundred fifty-two billion, four hundred forty-two million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 277 300 375 400 500 554 600 750 831 1000 1108 1200 1385 1500 1662 2000 2216 2770 3000 3324 4155 4432 5540 6000 6648 6925 8310 11080 13296 13850 16620 20775 22160 27700 33240 34625 41550 55400 66480 69250 83100 103875 110800 138500 166200 207750 277000 332400 415500 554000 831000 1662000 6830591 13661182 20491773 27322364 34152955 40983546 54644728 68305910 81967092 102458865 109289456 136611820 163934184 170764775 204917730 273223640 327868368 341529550 409835460 512294325 546447280 683059100 819670920 853823875 1024588650 1366118200 1639341840 1707647750 1892073707 2049177300 2561471625 2732236400 3415295500 3784147414 4098354600 5122943250 5676221121 6830591000 7568294828 8196709200 9460368535 10245886500 11352442242 13661182000 15136589656 18920737070 20491773000 22704884484 28381105605 30273179312 37841474140 40983546000 45409768968 47301842675 56762211210 75682948280 90819537936 94603685350 113524422420 141905528025 151365896560 189207370700 227048844840 236509213375 283811056050 378414741400 454097689680 473018426750 567622112100 709527640125 756829482800 946036853500 1135244224200 1419055280250 1892073707000 2270488448400 2838110560500 3784147414000 5676221121000 11352442242000