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134134011420516 = 22343088491340441
BaseRepresentation
bin11110011111111010000010…
…000110100101111101100100
3122120221002022212211111210000
4132133322002012211331210
5120040122423410424031
61153140151505501300
740152601563042522
oct3637720206457544
9576832285744700
10134134011420516
1139814a07642598
12130640a1041830
1359aca24345143
14251a199651312
1510792006463e6
hex79fe821a5f64

134134011420516 has 60 divisors (see below), whose sum is σ = 350654198409900. Its totient is φ = 44711159016960.

The previous prime is 134134011420503. The next prime is 134134011420523. The reversal of 134134011420516 is 615024110431431.

134134011420516 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 3 + 4 + 0 + 114 + 20 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66839552398116 + 67294459022400 = 8175546^2 + 8203320^2 .

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 19 ways as a sum of consecutive naturals, for example, 99396856 + ... + 100737296.

It is an arithmetic number, because the mean of its divisors is an integer number (5844236640165).

Almost surely, 2134134011420516 is an apocalyptic number.

It is an amenable number.

134134011420516 is an abundant number, since it is smaller than the sum of its proper divisors (216520186989384).

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

134134011420516 is a wasteful number, since it uses less digits than its factorization.

134134011420516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649306 (or 1649295 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 134134011420516 its reverse (615024110431431), we get a palindrome (749158121851947).

The spelling of 134134011420516 in words is "one hundred thirty-four trillion, one hundred thirty-four billion, eleven million, four hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 308849 617698 926547 1235396 1340441 1853094 2680882 2779641 3706188 4021323 5361764 5559282 8042646 8338923 11118564 12063969 16085292 16677846 24127938 25016769 33355692 36191907 48255876 50033538 72383814 100067076 108575721 144767628 217151442 434302884 413993862409 827987724818 1241981587227 1655975449636 2483963174454 3725944761681 4967926348908 7451889523362 11177834285043 14903779046724 22355668570086 33533502855129 44711337140172 67067005710258 134134011420516