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7145413308 = 22321154133353
BaseRepresentation
bin1101010011110011…
…00101101010111100
3200102222100121100100
412221321211222330
5104113211211213
63141011001100
7342033003525
oct65171455274
920388317310
107145413308
113037443860
121474b99190
1389b48a217
144badad84c
152bc48e773
hex1a9e65abc

7145413308 has 72 divisors (see below), whose sum is σ = 19741031856. Its totient is φ = 2161209600.

The previous prime is 7145413273. The next prime is 7145413309. The reversal of 7145413308 is 8033145417.

It is a happy number.

7145413308 is a `hidden beast` number, since 71 + 454 + 133 + 0 + 8 = 666.

It is a super-3 number, since 3×71454133083 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145413309) by changing a digit.

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, 197560 + ... + 230912.

It is an arithmetic number, because the mean of its divisors is an integer number (274180998).

Almost surely, 27145413308 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 7145413308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870515928).

7145413308 is an abundant number, since it is smaller than the sum of its proper divisors (12595618548).

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

7145413308 is a wasteful number, since it uses less digits than its factorization.

7145413308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7145413308 is about 84530.5465970734. The cubic root of 7145413308 is about 1926.0864891949.

The spelling of 7145413308 in words is "seven billion, one hundred forty-five million, four hundred thirteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 541 1082 1623 2164 3246 4869 5951 6492 9738 11902 17853 19476 23804 33353 35706 53559 66706 71412 100059 107118 133412 200118 214236 300177 366883 400236 600354 733766 1100649 1200708 1467532 2201298 3301947 4402596 6603894 13207788 18043973 36087946 54131919 72175892 108263838 162395757 198483703 216527676 324791514 396967406 595451109 649583028 793934812 1190902218 1786353327 2381804436 3572706654 7145413308