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134203420032 = 27311253112553
BaseRepresentation
bin111110011111100100…
…1011010110110000000
3110211101212102002220020
41330333021122312000
54144322033420112
6141352513013440
712460454151153
oct1747711326600
9424355362806
10134203420032
1151a08371890
1222014554280
13c8699aa116
1466d1851c9a
153756dbb48c
hex1f3f25ad80

134203420032 has 128 divisors (see below), whose sum is σ = 389069550720. Its totient is φ = 40648396800.

The previous prime is 134203420019. The next prime is 134203420063. The reversal of 134203420032 is 230024302431.

134203420032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1342034200323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134203419984 and 134203420011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10684668 + ... + 10697220.

It is an arithmetic number, because the mean of its divisors is an integer number (3039605865).

Almost surely, 2134203420032 is an apocalyptic number.

134203420032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134203420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194534775360).

134203420032 is an abundant number, since it is smaller than the sum of its proper divisors (254866130688).

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

134203420032 is a wasteful number, since it uses less digits than its factorization.

134203420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15112 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134203420032 its reverse (230024302431), we get a palindrome (364227722463).

The spelling of 134203420032 in words is "one hundred thirty-four billion, two hundred three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2531 4224 5062 7593 10124 12553 15186 20248 25106 27841 30372 37659 40496 50212 55682 60744 75318 80992 83523 100424 111364 121488 138083 150636 161984 167046 200848 222728 242976 276166 301272 323968 334092 401696 414249 445456 485952 552332 602544 668184 803392 828498 890912 971904 1104664 1205088 1336368 1606784 1656996 1781824 2209328 2410176 2672736 3313992 3563648 4418656 4820352 5345472 6627984 8837312 10690944 13255968 17674624 26511936 31771643 53023872 63543286 95314929 127086572 190629858 254173144 349488073 381259716 508346288 698976146 762519432 1016692576 1048464219 1397952292 1525038864 2033385152 2096928438 2795904584 3050077728 4066770304 4193856876 5591809168 6100155456 8387713752 11183618336 12200310912 16775427504 22367236672 33550855008 44734473344 67101710016 134203420032