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132114230144334 = 23253978571665899
BaseRepresentation
bin11110000010100000111101…
…110000011110110101001110
3122022202222220212000201020100
4132002200331300132311032
5114304024420404104314
61144552234531231530
736553636532340354
oct3602407560366516
9568688825021210
10132114230144334
113910636a784179
12129987584485a6
13589441a817a29
14248a5119737d4
1510418dac04c09
hex78283dc1ed4e

132114230144334 has 96 divisors (see below), whose sum is σ = 294999077973600. Its totient is φ = 42711812222976.

The previous prime is 132114230144329. The next prime is 132114230144341. The reversal of 132114230144334 is 433441032411231.

132114230144334 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 14 + 2 + 301 + 4 + 4 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78472117 + ... + 80138015.

It is an arithmetic number, because the mean of its divisors is an integer number (3072907062225).

Almost surely, 2132114230144334 is an apocalyptic number.

132114230144334 is an abundant number, since it is smaller than the sum of its proper divisors (162884847829266).

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

132114230144334 is a wasteful number, since it uses less digits than its factorization.

132114230144334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666914 (or 1666911 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132114230144334 its reverse (433441032411231), we get a palindrome (565555262555565).

The spelling of 132114230144334 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 53 97 106 159 194 291 318 477 582 857 873 954 1714 1746 2571 5141 5142 7713 10282 15423 15426 30846 45421 46269 83129 90842 92538 136263 166258 249387 272526 408789 498774 748161 817578 1496322 1665899 3331798 4405837 4997697 8811674 9995394 13217511 14993091 26435022 29986182 39652533 79305066 88292647 161592203 176585294 264877941 323184406 484776609 529755882 794633823 969553218 1427675443 1454329827 1589267646 2855350886 2908659654 4283026329 8564386759 8566052658 12849078987 17128773518 25693160277 25698157974 51386320554 75666798479 77079480831 138484517971 151333596958 154158961662 227000395437 276969035942 415453553913 454000790874 681001186311 830907107826 1246360661739 1362002372622 2492721323478 7339679452463 14679358904926 22019038357389 44038076714778 66057115072167 132114230144334