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134445055104 = 2732116705777
BaseRepresentation
bin111110100110110001…
…1001011110010000000
3110212000201002102220100
41331031203023302000
54200320413230404
6141432504042400
712466450053453
oct1751543136200
9425021072810
10134445055104
1152021801898
1222081463400
13c8a7a81259
14671599149a
15376d1ebd39
hex1f4d8cbc80

134445055104 has 48 divisors (see below), whose sum is σ = 386879654070. Its totient is φ = 44815017984.

The previous prime is 134445055061. The next prime is 134445055123. The reversal of 134445055104 is 401550544431.

134445055104 is a `hidden beast` number, since 1 + 3 + 4 + 44 + 505 + 5 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133552240704 + 892814400 = 365448^2 + 29880^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58351737 + ... + 58354040.

Almost surely, 2134445055104 is an apocalyptic number.

It is an amenable number.

134445055104 is an abundant number, since it is smaller than the sum of its proper divisors (252434598966).

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

134445055104 is a wasteful number, since it uses less digits than its factorization.

134445055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116705797 (or 116705782 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 134445055104 its reverse (401550544431), we get a palindrome (535995599535).

The spelling of 134445055104 in words is "one hundred thirty-four billion, four hundred forty-five million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 116705777 233411554 350117331 466823108 700234662 933646216 1050351993 1400469324 1867292432 2100703986 2800938648 3734584864 4201407972 5601877296 7469169728 8402815944 11203754592 14938339456 16805631888 22407509184 33611263776 44815018368 67222527552 134445055104