Search a number
-
+
132015532142421 = 332921126912292417
BaseRepresentation
bin11110000001000101000010…
…111001011110111101010101
3122022102120011102022201121000
4132001011002321132331111
5114300420302212024141
61144435033114413513
736543543645223554
oct3601050271367525
9568376142281530
10132015532142421
1139078522290554
12129815b2731299
13588801b992875
14248582b7d3d9b
15103e060e525b6
hex781142e5ef55

132015532142421 has 128 divisors (see below), whose sum is σ = 204287728320000. Its totient is φ = 84154999541760.

The previous prime is 132015532142393. The next prime is 132015532142443. The reversal of 132015532142421 is 124241235510231.

132015532142421 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 553 + 21 + 42 + 42 + 1 = 666.

It is not a de Polignac number, because 132015532142421 - 215 = 132015532109653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132015532142471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54619581805 + ... + 54619584221.

It is an arithmetic number, because the mean of its divisors is an integer number (1595997877500).

Almost surely, 2132015532142421 is an apocalyptic number.

It is an amenable number.

132015532142421 is a deficient number, since it is larger than the sum of its proper divisors (72272196177579).

132015532142421 is a wasteful number, since it uses less digits than its factorization.

132015532142421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 132015532142421 its reverse (124241235510231), we get a palindrome (256256767652652).

The spelling of 132015532142421 in words is "one hundred thirty-two trillion, fifteen billion, five hundred thirty-two million, one hundred forty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 27 29 87 211 261 269 633 783 807 1229 1899 2417 2421 3687 5697 6119 7251 7263 7801 11061 18357 21753 23403 33183 35641 55071 56759 65259 70093 70209 106923 165213 170277 210279 210627 259319 320769 330601 509987 510831 630837 650173 777957 962307 991803 1529961 1532493 1646011 1892511 1950519 2333871 2970493 2975409 4589883 4938033 5851557 7001613 7520251 8911479 8926227 9587429 13769649 14789623 14814099 17554671 18855017 22560753 26734437 28762287 44368869 44442297 56565051 67682259 69756811 80203311 86144297 86286861 133106607 137186503 169695153 203046777 209270433 258432891 258860583 399319821 411559509 509085459 626774023 627811299 775298673 799062617 1234678527 1880322069 1883433897 2022947519 2325896019 2397187851 3704035581 3978408587 5640966207 6068842557 7191563553 11935225761 16922898621 18176446667 18206527671 21574690659 23172815893 35805677283 54529340001 54619583013 69518447679 107417031849 163588020003 168602212187 208555343037 490764060009 505806636561 625666029111 1517419909683 4552259729049 4889464153423 14668392460269 44005177380807 132015532142421