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38430418875343 = 1153211312409411
BaseRepresentation
bin10001011110011110001110…
…11101110011001111001111
312001001220121222010111122221
420233033013131303033033
520014120444213002333
6213422405105320211
711044335414443305
oct1057170735631717
9161056558114587
1038430418875343
1111277281637990
1243880a5636067
131859c85756661
1496c083b12275
154699e3e02d2d
hex22f3c77733cf

38430418875343 has 16 divisors (see below), whose sum is σ = 42917555382912. Its totient is φ = 34115107572000.

The previous prime is 38430418875313. The next prime is 38430418875413. The reversal of 38430418875343 is 34357881403483.

It is a cyclic number.

It is not a de Polignac number, because 38430418875343 - 29 = 38430418874831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38430418875313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156081693 + ... + 156327718.

It is an arithmetic number, because the mean of its divisors is an integer number (2682347211432).

Almost surely, 238430418875343 is an apocalyptic number.

38430418875343 is a deficient number, since it is larger than the sum of its proper divisors (4487136507569).

38430418875343 is a wasteful number, since it uses less digits than its factorization.

38430418875343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312409686.

The product of its (nonzero) digits is 92897280, while the sum is 61.

The spelling of 38430418875343 in words is "thirty-eight trillion, four hundred thirty billion, four hundred eighteen million, eight hundred seventy-five thousand, three hundred forty-three".

Divisors: 1 11 53 211 583 2321 11183 123013 312409411 3436503521 16557698783 65918385721 182134686613 725102242931 3493674443213 38430418875343