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134303603435616 = 253113110471120711
BaseRepresentation
bin11110100010010111111110…
…100100110010100001100000
3122121112022002001010111211110
4132202113332210302201200
5120100412234434414431
61153350120151143320
740201054331301366
oct3642277644624140
9577468061114743
10134303603435616
113987a92494065a
1213090b31074b40
1359c2a108c3334
142524487045636
15107d829252346
hex7a25fe932860

134303603435616 has 96 divisors (see below), whose sum is σ = 355699356784128. Its totient is φ = 44367635773440.

The previous prime is 134303603435593. The next prime is 134303603435653. The reversal of 134303603435616 is 616534306303431.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119277501 + ... + 120398211.

It is an arithmetic number, because the mean of its divisors is an integer number (3705201633168).

Almost surely, 2134303603435616 is an apocalyptic number.

134303603435616 is a gapful number since it is divisible by the number (16) 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 134303603435616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177849678392064).

134303603435616 is an abundant number, since it is smaller than the sum of its proper divisors (221395753348512).

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

134303603435616 is a wasteful number, since it uses less digits than its factorization.

134303603435616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131884 (or 1131876 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 134303603435616 in words is "one hundred thirty-four trillion, three hundred three billion, six hundred three million, four hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 11047 22094 33141 44188 66282 88376 132564 176752 265128 353504 530256 1060512 1120711 1248311 2241422 2496622 3362133 3744933 4482844 4993244 6724266 7489866 8965688 9986488 13448532 14979732 17931376 19972976 26897064 29959464 35862752 39945952 53794128 59918928 107588256 119837856 126640343 253280686 379921029 506561372 759842058 1013122744 1519684116 2026245488 3039368232 4052490976 6078736464 12157472928 12380494417 24760988834 37141483251 49521977668 74282966502 99043955336 148565933004 198087910672 297131866008 396175821344 594263732016 1188527464032 1398995869121 2797991738242 4196987607363 5595983476484 8393975214726 11191966952968 16787950429452 22383933905936 33575900858904 44767867811872 67151801717808 134303603435616