Search a number
-
+
2134240031232 = 29321273646927
BaseRepresentation
bin11111000011101010100…
…111100111001000000000
321120000211212010222222200
4133003222213213020000
5234431410421444412
64312242322433200
7310123312641351
oct37035247471000
97500755128880
102134240031232
11753142949161
122a5768802800
131263479bc70a
1475425111d28
153a7b31cb9dc
hex1f0ea9e7200

2134240031232 has 120 divisors (see below), whose sum is σ = 6208063420416. Its totient is φ = 705811470336.

The previous prime is 2134240031227. The next prime is 2134240031237. The reversal of 2134240031232 is 2321300424312.

2134240031232 is a `hidden beast` number, since 2 + 1 + 3 + 424 + 0 + 0 + 3 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (2134240031227) and next prime (2134240031237).

It is a junction number, because it is equal to n+sod(n) for n = 2134240031196 and 2134240031205.

It is not an unprimeable number, because it can be changed into a prime (2134240031237) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1238248 + ... + 2408679.

Almost surely, 22134240031232 is an apocalyptic number.

It is an amenable number.

2134240031232 is an abundant number, since it is smaller than the sum of its proper divisors (4073823389184).

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

2134240031232 is a wasteful number, since it uses less digits than its factorization.

2134240031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647078 (or 3647059 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2134240031232 its reverse (2321300424312), we get a palindrome (4455540455544).

The spelling of 2134240031232 in words is "two trillion, one hundred thirty-four billion, two hundred forty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1143 1152 1524 1536 2032 2286 2304 3048 4064 4572 4608 6096 8128 9144 12192 16256 18288 24384 32512 36576 48768 65024 73152 97536 146304 195072 292608 585216 3646927 7293854 10940781 14587708 21881562 29175416 32822343 43763124 58350832 65644686 87526248 116701664 131289372 175052496 233403328 262578744 350104992 463159729 466806656 525157488 700209984 926319458 933613312 1050314976 1389479187 1400419968 1852638916 1867226624 2100629952 2778958374 2800839936 3705277832 4168437561 4201259904 5557916748 5601679872 7410555664 8336875122 8402519808 11115833496 14821111328 16673750244 16805039616 22231666992 29642222656 33347500488 44463333984 59284445312 66695000976 88926667968 118568890624 133390001952 177853335936 237137781248 266780003904 355706671872 533560007808 711413343744 1067120015616 2134240031232