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127344138118554 = 237283631155910891
BaseRepresentation
bin11100111101000110011110…
…000111011110010110011010
3121200212222110221022210001110
4130331012132013132112122
5113142401243324243204
61130501031152401150
735552211312200310
oct3475063607362632
9550788427283043
10127344138118554
1137637389127585
12123481922461b6
1356096680569c6
1423636bc4000b0
15eac7a7454889
hex73d19e1de59a

127344138118554 has 128 divisors (see below), whose sum is σ = 292778298408960. Its totient is φ = 36171476510400.

The previous prime is 127344138118553. The next prime is 127344138118601. The reversal of 127344138118554 is 455811831443721.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 127344138118494 and 127344138118503.

It is not an unprimeable number, because it can be changed into a prime (127344138118553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11692597449 + ... + 11692608339.

It is an arithmetic number, because the mean of its divisors is an integer number (2287330456320).

Almost surely, 2127344138118554 is an apocalyptic number.

127344138118554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127344138118554 is an abundant number, since it is smaller than the sum of its proper divisors (165434160290406).

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

127344138118554 is a wasteful number, since it uses less digits than its factorization.

127344138118554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376.

The product of its digits is 12902400, while the sum is 57.

The spelling of 127344138118554 in words is "one hundred twenty-seven trillion, three hundred forty-four billion, one hundred thirty-eight million, one hundred eighteen thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 283 566 631 849 1262 1559 1698 1893 1981 3118 3786 3962 4417 4677 5943 8834 9354 10891 10913 11886 13251 21782 21826 26502 32673 32739 65346 65478 76237 152474 178573 228711 357146 441197 457422 535719 882394 983729 1071438 1250011 1323591 1967458 2500022 2647182 2951187 3082153 3088379 3750033 5902374 6164306 6176758 6872221 6886103 7500066 9246459 9265137 13744442 13772206 16979069 18492918 18530274 20616663 20658309 21575071 33958138 41233326 41316618 43150142 48105547 50937207 64725213 96211094 101874414 118853483 129450426 144316641 237706966 278395307 288633282 356560449 556790614 713120898 835185921 1670371842 1944838543 1948767149 3889677086 3897534298 4805076527 5834515629 5846301447 9610153054 10713792539 11669031258 11692602894 13613869801 14415229581 21427585078 27227739602 28830459162 32141377617 33635535689 40841609403 64282755234 67271071378 74996547773 81683218806 100906607067 149993095546 201813214134 224989643319 449979286638 3032003288537 6064006577074 9096009865611 18192019731222 21224023019759 42448046039518 63672069059277 127344138118554