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134026414752 = 2532397625777
BaseRepresentation
bin111110011010010011…
…0001100101010100000
3110210221112100022022010
41330310212030222200
54143441230233002
6141323151112520
712453204504606
oct1746446145240
9423845308263
10134026414752
115192746512a
1221b85212740
13c83c114379
1466b6137876
1537465a546c
hex1f3498caa0

134026414752 has 96 divisors (see below), whose sum is σ = 370901123712. Its totient is φ = 42292445184.

The previous prime is 134026414747. The next prime is 134026414757. The reversal of 134026414752 is 257414620431.

134026414752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134026414747) and next prime (134026414757).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 134026414752.

It is not an unprimeable number, because it can be changed into a prime (134026414757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98713 + ... + 527064.

It is an arithmetic number, because the mean of its divisors is an integer number (3863553372).

Almost surely, 2134026414752 is an apocalyptic number.

134026414752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134026414752 is an abundant number, since it is smaller than the sum of its proper divisors (236874708960).

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

134026414752 is a wasteful number, since it uses less digits than its factorization.

134026414752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625910 (or 625902 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 134026414752 in words is "one hundred thirty-four billion, twenty-six million, four hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 552 582 736 776 1104 1164 1552 2208 2231 2328 3104 4462 4656 6693 8924 9312 13386 17848 26772 35696 53544 71392 107088 214176 625777 1251554 1877331 2503108 3754662 5006216 7509324 10012432 14392871 15018648 20024864 28785742 30037296 43178613 57571484 60074592 60700369 86357226 115142968 121400738 172714452 182101107 230285936 242801476 345428904 364202214 460571872 485602952 690857808 728404428 971205904 1381715616 1396108487 1456808856 1942411808 2792216974 2913617712 4188325461 5584433948 5827235424 8376650922 11168867896 16753301844 22337735792 33506603688 44675471584 67013207376 134026414752