Search a number
-
+
133210223322144 = 25319213728056827
BaseRepresentation
bin11110010010011101101100…
…000010101010010000100000
3122110122202212111112211020020
4132102131230002222100200
5114430004014132302034
61151151533132513440
740026056341545513
oct3622355402522040
9573582774484206
10133210223322144
1139499158311371
1212b3504a31b880
1359438934532a7
1424c75a2c2cd7a
151060184a34249
hex79276c0aa420

133210223322144 has 144 divisors (see below), whose sum is σ = 371743319451168. Its totient is φ = 41759330909184.

The previous prime is 133210223322133. The next prime is 133210223322217. The reversal of 133210223322144 is 441223322012331.

It is a happy number.

It is an unprimeable number.

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, 9280542 + ... + 18776285.

It is an arithmetic number, because the mean of its divisors is an integer number (2581550829522).

Almost surely, 2133210223322144 is an apocalyptic number.

It is an amenable number.

133210223322144 is an abundant number, since it is smaller than the sum of its proper divisors (238533096129024).

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

133210223322144 is a wasteful number, since it uses less digits than its factorization.

133210223322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057015 (or 28056988 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 133210223322144 its reverse (441223322012331), we get a palindrome (574433545334475).

The spelling of 133210223322144 in words is "one hundred thirty-three trillion, two hundred ten billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 137 152 228 274 304 361 411 456 548 608 722 822 912 1083 1096 1444 1644 1824 2166 2192 2603 2888 3288 4332 4384 5206 5776 6576 7809 8664 10412 11552 13152 15618 17328 20824 31236 34656 41648 49457 62472 83296 98914 124944 148371 197828 249888 296742 395656 593484 791312 1186968 1582624 2373936 4747872 28056827 56113654 84170481 112227308 168340962 224454616 336681924 448909232 533079713 673363848 897818464 1066159426 1346727696 1599239139 2132318852 2693455392 3198478278 3843785299 4264637704 6396956556 7687570598 8529275408 10128514547 11531355897 12793913112 15375141196 17058550816 20257029094 23062711794 25587826224 30385543641 30750282392 40514058188 46125423588 51175652448 60771087282 61500564784 73031920681 81028116376 92250847176 121542174564 123001129568 146063841362 162056232752 184501694352 219095762043 243084349128 292127682724 324112465504 369003388704 438191524086 486168698256 584255365448 876383048172 972337396512 1168510730896 1387606492939 1752766096344 2337021461792 2775212985878 3505532192688 4162819478817 5550425971756 7011064385376 8325638957634 11100851943512 16651277915268 22201703887024 33302555830536 44403407774048 66605111661072 133210223322144