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134089393104 = 243229103311743
BaseRepresentation
bin111110011100001011…
…0011100001111010000
3110211002220211221100200
41330320112130033100
54144103341034404
6141333321015200
712454601015142
oct1747026341720
9424086757320
10134089393104
1151959a6a757
1221ba2324500
13c84c194b74
1466c064cc92
15374bd95839
hex1f3859c3d0

134089393104 has 120 divisors (see below), whose sum is σ = 391974435840. Its totient is φ = 42736087296.

The previous prime is 134089393091. The next prime is 134089393147. The reversal of 134089393104 is 401393980431.

134089393104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 134089393104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274257 + ... + 585999.

It is an arithmetic number, because the mean of its divisors is an integer number (3266453632).

Almost surely, 2134089393104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134089393104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195987217920).

134089393104 is an abundant number, since it is smaller than the sum of its proper divisors (257885042736).

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

134089393104 is a wasteful number, since it uses less digits than its factorization.

134089393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311889 (or 311880 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 134089393104 in words is "one hundred thirty-four billion, eighty-nine million, three hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 103 116 144 174 206 232 261 309 348 412 464 522 618 696 824 927 1044 1236 1392 1648 1854 2088 2472 2987 3708 4176 4944 5974 7416 8961 11948 14832 17922 23896 26883 35844 47792 53766 71688 107532 143376 215064 311743 430128 623486 935229 1246972 1870458 2493944 2805687 3740916 4987888 5611374 7481832 9040547 11222748 14963664 18081094 22445496 27121641 32109529 36162188 44890992 54243282 64219058 72324376 81364923 96328587 108486564 128438116 144648752 162729846 192657174 216973128 256876232 288985761 325459692 385314348 433946256 513752464 577971522 650919384 770628696 931176341 1155943044 1301838768 1541257392 1862352682 2311886088 2793529023 3724705364 4623772176 5587058046 7449410728 8380587069 11174116092 14898821456 16761174138 22348232184 33522348276 44696464368 67044696552 134089393104