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133243341411140 = 22517261333758761
BaseRepresentation
bin11110010010111100100010…
…000010001001001101000100
3122110202221100120002001120222
4132102330202002021031010
5114431024330400124030
61151215051312243512
740031341132632032
oct3622744202111504
9573687316061528
10133243341411140
1139501202641854
1212b3b551540598
135946a40807a5c
1424c902541d552
151060e7227b3e5
hex792f22089344

133243341411140 has 72 divisors (see below), whose sum is σ = 297287237316552. Its totient is φ = 50154006712320.

The previous prime is 133243341411119. The next prime is 133243341411143. The reversal of 133243341411140 is 41114143342331.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19118091635776 + 114125249775364 = 4372424^2 + 10682942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133243341411140.

It is not an unprimeable number, because it can be changed into a prime (133243341411143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33569360 + ... + 37328120.

Almost surely, 2133243341411140 is an apocalyptic number.

133243341411140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133243341411140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148643618658276).

133243341411140 is an abundant number, since it is smaller than the sum of its proper divisors (164043895905412).

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

133243341411140 is a wasteful number, since it uses less digits than its factorization.

133243341411140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764937 (or 3764918 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 133243341411140 its reverse (41114143342331), we get a palindrome (174357484753471).

The spelling of 133243341411140 in words is "one hundred thirty-three trillion, two hundred forty-three billion, three hundred forty-one million, four hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 6133 12266 24532 30665 61330 104261 122660 208522 417044 521305 1042610 1772437 2085220 3544874 3758761 7089748 7517522 8862185 15035044 17724370 18793805 35448740 37587610 63898937 75175220 127797874 255595748 319494685 638989370 1086281929 1277978740 2172563858 4345127716 5431409645 10862819290 21725638580 23052481213 46104962426 92209924852 115262406065 230524812130 391892180621 461049624260 783784361242 1567568722484 1959460903105 3918921806210 6662167070557 7837843612420 13324334141114 26648668282228 33310835352785 66621670705570 133243341411140