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38430442422405 = 32511167464893757
BaseRepresentation
bin10001011110011110010001…
…10111101000000010000101
312001001220200121102211011100
420233033020313220002011
520014121021230004110
6213422411310130313
711044336121544525
oct1057171067500205
9161056617384140
1038430442422405
1111277293960170
1243880b14b0999
131859c8a5ac427
1496c086cc1685
154699e6004bc0
hex22f3c8de8085

38430442422405 has 48 divisors (see below), whose sum is σ = 73103613657984. Its totient is φ = 18521367239040.

The previous prime is 38430442422377. The next prime is 38430442422551. The reversal of 38430442422405 is 50422424403483.

38430442422405 is a `hidden beast` number, since 3 + 84 + 304 + 4 + 24 + 2 + 240 + 5 = 666.

It is not a de Polignac number, because 38430442422405 - 29 = 38430442421893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232364214 + ... + 232529543.

It is an arithmetic number, because the mean of its divisors is an integer number (1522991951208).

Almost surely, 238430442422405 is an apocalyptic number.

It is an amenable number.

38430442422405 is a deficient number, since it is larger than the sum of its proper divisors (34673171235579).

38430442422405 is a wasteful number, since it uses less digits than its factorization.

38430442422405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464893946 (or 464893943 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

Adding to 38430442422405 its reverse (50422424403483), we get a palindrome (88852866825888).

The spelling of 38430442422405 in words is "thirty-eight trillion, four hundred thirty billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 167 495 501 835 1503 1837 2505 5511 7515 9185 16533 27555 82665 464893757 1394681271 2324468785 4184043813 5113831327 6973406355 15341493981 20920219065 25569156635 46024481943 76707469905 77637257419 230122409715 232911772257 388186287095 698735316771 854009831609 1164558861285 2562029494827 3493676583855 4270049158045 7686088484481 12810147474135 38430442422405