Search a number
-
+
133161122442405 = 35234735112338997
BaseRepresentation
bin11110010001101111111101…
…011001101010110010100101
3122110111002010120120200201210
4132101233331121222302211
5114423202434321124110
61151113213010342033
740022400515135601
oct3621577531526245
9573432116520653
10133161122442405
113947a35112a712
1212b2762658a919
13593c069a5c6b5
1424c5065aaa501
15105dc5e095520
hex791bfd66aca5

133161122442405 has 64 divisors (see below), whose sum is σ = 227116181864448. Its totient is φ = 66467155772160.

The previous prime is 133161122442373. The next prime is 133161122442407. The reversal of 133161122442405 is 504244221161331.

It is not a de Polignac number, because 133161122442405 - 25 = 133161122442373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133161122442407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55761367 + ... + 58100363.

It is an arithmetic number, because the mean of its divisors is an integer number (3548690341632).

Almost surely, 2133161122442405 is an apocalyptic number.

133161122442405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133161122442405 is a deficient number, since it is larger than the sum of its proper divisors (93955059422043).

133161122442405 is a wasteful number, since it uses less digits than its factorization.

133161122442405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342586.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 133161122442405 in words is "one hundred thirty-three trillion, one hundred sixty-one billion, one hundred twenty-two million, four hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 15 23 47 69 115 141 235 345 705 1081 3243 3511 5405 10533 16215 17555 52665 80753 165017 242259 403765 495051 825085 1211295 2338997 2475255 3795391 7016991 11386173 11694985 18976955 35084955 53796931 56930865 109932859 161390793 268984655 329798577 549664295 806953965 1648992885 2528455757 7585367271 8212218467 12642278785 24636655401 37926836355 41061092335 123183277005 188881024741 385974267949 566643074223 944405123705 1157922803847 1929871339745 2833215371115 5789614019235 8877408162827 26632224488481 44387040814135 133161122442405