Search a number
-
+
132156430406143 = 112132935910697549
BaseRepresentation
bin11110000011001000010001…
…000101101101000111111111
3122022221000211212021010111221
4132003020101011231013333
5114310222332140444033
61145023454225254211
736556662354550543
oct3603102105550777
9568830755233457
10132156430406143
1139122255720500
12129a4975194367
1358983b4690b50
14248c596449a23
151042a5a95b12d
hex78321116d1ff

132156430406143 has 96 divisors (see below), whose sum is σ = 162455403600000. Its totient is φ = 106664065643520.

The previous prime is 132156430406081. The next prime is 132156430406159. The reversal of 132156430406143 is 341604034651231.

It is not a de Polignac number, because 132156430406143 - 229 = 132155893535231 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132156430406143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132156430406183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17506477933 + ... + 17506485481.

It is an arithmetic number, because the mean of its divisors is an integer number (1692243787500).

Almost surely, 2132156430406143 is an apocalyptic number.

132156430406143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132156430406143 is a deficient number, since it is larger than the sum of its proper divisors (30298973193857).

132156430406143 is a wasteful number, since it uses less digits than its factorization.

132156430406143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9041 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 132156430406143 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, four hundred thirty million, four hundred six thousand, one hundred forty-three".

Divisors: 1 11 13 29 121 143 319 359 377 1069 1573 3509 3949 4147 4667 7549 10411 11759 13897 31001 43439 45617 51337 83039 98137 114521 129349 135343 152867 218921 341011 383771 403013 564707 913429 1079507 1259731 1488773 1681537 2408131 2710091 2845973 3751121 4221481 4433143 4989023 8069881 11129359 11874577 16376503 26489441 29811001 31305703 35231183 46436291 48764573 54879253 78592639 88768691 104908453 122422949 144681667 234026549 327921011 344362733 387543013 603671783 864519029 976455601 1021704307 1153992983 1346652439 1591498337 2574292039 2897087279 3042345137 4262973143 9509709319 11238747377 12693922813 17506481707 28317212429 31867960069 33465796507 37662134627 84015531091 123626221147 350547560759 368123761577 414283480897 924170842001 1092201904183 4557118289867 10165879262011 12014220946013 132156430406143