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132134401314234 = 234111072296130181
BaseRepresentation
bin11110000010110011110000…
…000011011000110110111010
3122022211220222121122022110000
4132002303300003120312322
5114304342223214023414
61145005412253333430
736555252433425024
oct3602636003306672
9568756877568400
10132134401314234
1139113980894720
12129a0647797276
1358962b37c4317
14248b4a6895014
1510421bb9d2b09
hex782cf00d8dba

132134401314234 has 160 divisors (see below), whose sum is σ = 326038850989632. Its totient is φ = 39663473472000.

The previous prime is 132134401314191. The next prime is 132134401314247. The reversal of 132134401314234 is 432413104431231.

132134401314234 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 4 + 401 + 3 + 14 + 234 = 666.

It is a super-2 number, since 2×1321344013142342 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4378050624 + ... + 4378080804.

Almost surely, 2132134401314234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134401314234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163019425494816).

132134401314234 is an abundant number, since it is smaller than the sum of its proper divisors (193904449675398).

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

132134401314234 is a wasteful number, since it uses less digits than its factorization.

132134401314234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53274 (or 53265 counting only the distinct ones).

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

Adding to 132134401314234 its reverse (432413104431231), we get a palindrome (564547505745465).

The spelling of 132134401314234 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, four hundred one million, three hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 297 321 594 642 891 963 1177 1782 1926 2354 2889 3531 5778 7062 8667 10593 17334 21186 22961 30181 31779 45922 60362 63558 68883 90543 95337 137766 181086 190674 206649 252571 271629 331991 413298 505142 543258 619947 663982 757713 814887 995973 1239894 1515426 1629774 1859841 1991946 2273139 2444661 2456827 2987919 3229367 3719682 4546278 4889322 4913654 5975838 6458734 6819417 7370481 8963757 9688101 13638834 14740962 17927514 19376202 20458251 22111443 26891271 27025097 29064303 35523037 40916502 44222886 53782542 54050194 58128606 66334329 71046074 81075291 87192909 106569111 132668658 162150582 174385818 199002987 213138222 243225873 261578727 319707333 398005974 486451746 523157454 639414666 692985941 729677619 959121999 1385971882 1459355238 1918243998 2078957823 2189032857 2877365997 4157915646 4378065714 5754731994 6236873469 7622845351 12473746938 15245690702 18710620407 22868536053 37421240814 45737072106 56131861221 68605608159 74149495687 112263722442 137211216318 148298991374 205816824477 222448487061 411633648954 444896974122 617450473431 667345461183 815644452557 1234900946862 1334690922366 1631288905114 2002036383549 2446933357671 4004072767098 4893866715342 6006109150647 7340800073013 12012218301294 14681600146026 22022400219039 44044800438078 66067200657117 132134401314234