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11442314340 = 223457063157
BaseRepresentation
bin10101010100000001…
…11101110001100100
31002112102201210110000
422222000331301210
5141413213024330
65131224301300
7553360032012
oct125200756144
932472653400
1011442314340
114941985136
122274011830
131104763002
147a792b8b2
1546e810560
hex2aa03dc64

11442314340 has 60 divisors (see below), whose sum is σ = 35894968956. Its totient is φ = 3051283392.

The previous prime is 11442314339. The next prime is 11442314357. The reversal of 11442314340 is 4341324411.

11442314340 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 314 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7599306276 + 3843008064 = 87174^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3529959 + ... + 3533198.

Almost surely, 211442314340 is an apocalyptic number.

11442314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442314340 is an abundant number, since it is smaller than the sum of its proper divisors (24452654616).

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

11442314340 is a wasteful number, since it uses less digits than its factorization.

11442314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063178 (or 7063167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11442314340 its reverse (4341324411), we get a palindrome (15783638751).

The spelling of 11442314340 in words is "eleven billion, four hundred forty-two million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7063157 14126314 21189471 28252628 35315785 42378942 63568413 70631570 84757884 105947355 127136826 141263140 190705239 211894710 254273652 317842065 381410478 423789420 572115717 635684130 762820956 953526195 1144231434 1271368260 1907052390 2288462868 2860578585 3814104780 5721157170 11442314340