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127838438443134 = 232431311260808711
BaseRepresentation
bin11101000100010010110100…
…101101100100100001111110
3121202122020100120120222111100
4131010102310231210201332
5113224001110220140014
61131520100132033530
735633010451502316
oct3504226455444176
9552566316528440
10127838438443134
1137807a8283a521
1212407b424628a6
1356441613bb473
14237d5b0670446
15eba5879c5009
hex7444b4b6487e

127838438443134 has 48 divisors (see below), whose sum is σ = 285588302972544. Its totient is φ = 41304093339600.

The previous prime is 127838438443127. The next prime is 127838438443139. The reversal of 127838438443134 is 431344834838721.

127838438443134 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 3 + 84 + 384 + 43 + 134 = 666.

It is a super-4 number, since 4×1278384384431344 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127838438443139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 630302962 + ... + 630505749.

It is an arithmetic number, because the mean of its divisors is an integer number (5949756311928).

Almost surely, 2127838438443134 is an apocalyptic number.

127838438443134 is an abundant number, since it is smaller than the sum of its proper divisors (157749864529410).

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

127838438443134 is a wasteful number, since it uses less digits than its factorization.

127838438443134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260808893 (or 1260808890 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 127838438443134 in words is "one hundred twenty-seven trillion, eight hundred thirty-eight billion, four hundred thirty-eight million, four hundred forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 43 86 129 131 258 262 387 393 774 786 1179 2358 5633 11266 16899 33798 50697 101394 1260808711 2521617422 3782426133 7564852266 11347278399 22694556798 54214774573 108429549146 162644323719 165165941141 325288647438 330331882282 487932971157 495497823423 975865942314 990995646846 1486493470269 2972986940538 7102135469063 14204270938126 21306406407189 42612812814378 63919219221567 127838438443134