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146414016440 = 2353660350411
BaseRepresentation
bin1000100001011011110…
…1001001011110111000
3111222220211210200012122
42020112331021132320
54344323442011230
6151132304300412
713402163414456
oct2102675113670
9458824720178
10146414016440
115710399367a
1224461911708
1310a646690b3
14712d40d9d6
153c1dd8abe5
hex2216f497b8

146414016440 has 16 divisors (see below), whose sum is σ = 329431537080. Its totient is φ = 58565606560.

The previous prime is 146414016431. The next prime is 146414016449. The reversal of 146414016440 is 44610414641.

146414016440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146414016431) and next prime (146414016449).

It is a self number, because there is not a number n which added to its sum of digits gives 146414016440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146414016449) 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 3 ways as a sum of consecutive naturals, for example, 1830175166 + ... + 1830175245.

Almost surely, 2146414016440 is an apocalyptic number.

146414016440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146414016440 is an abundant number, since it is smaller than the sum of its proper divisors (183017520640).

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

146414016440 is a wasteful number, since it uses less digits than its factorization.

146414016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660350422 (or 3660350418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 146414016440 in words is "one hundred forty-six billion, four hundred fourteen million, sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3660350411 7320700822 14641401644 18301752055 29282803288 36603504110 73207008220 146414016440