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132034134214304 = 25717157272204669
BaseRepresentation
bin11110000001010110010111…
…101010110000011010100000
3122022111100011211101212222022
4132001112113222300122200
5114301221401324324204
61144451351025401012
736545102634224360
oct3601262752603240
9568440154355868
10132034134214304
11390853a8706483
1212985124499168
1358899c4865aaa
1424866b41869a0
15103e79e0d75be
hex781597ab06a0

132034134214304 has 96 divisors (see below), whose sum is σ = 314572051422720. Its totient is φ = 53254055374848.

The previous prime is 132034134214303. The next prime is 132034134214309. The reversal of 132034134214304 is 403412431430231.

It is not an unprimeable number, because it can be changed into a prime (132034134214303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58786082 + ... + 60990750.

It is an arithmetic number, because the mean of its divisors is an integer number (3276792202320).

Almost surely, 2132034134214304 is an apocalyptic number.

132034134214304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132034134214304 is an abundant number, since it is smaller than the sum of its proper divisors (182537917208416).

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

132034134214304 is a wasteful number, since it uses less digits than its factorization.

132034134214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220430 (or 2220422 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 132034134214304 its reverse (403412431430231), we get a palindrome (535446565644535).

The spelling of 132034134214304 in words is "one hundred thirty-two trillion, thirty-four billion, one hundred thirty-four million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 15727 31454 62908 110089 125816 220178 251632 267359 440356 503264 534718 880712 1069436 1761424 1871513 2138872 2204669 3522848 3743026 4277744 4409338 7486052 8555488 8818676 14972104 15432683 17637352 29944208 30865366 35274704 37479373 59888416 61730732 70549408 74958746 123461464 149917492 246922928 262355611 299834984 493845856 524711222 599669968 1049422444 1199339936 2098844888 4197689776 8395379552 34672829363 69345658726 138691317452 242709805541 277382634904 485419611082 554765269808 589438099171 970839222164 1109530539616 1178876198342 1941678444328 2357752396684 3883356888656 4126066694197 4715504793368 7766713777312 8252133388394 9431009586736 16504266776788 18862019173472 33008533553576 66017067107152 132034134214304