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14342168070 = 2335674331831
BaseRepresentation
bin11010101101101110…
…00001111000000110
31101000112022121221000
431112313001320012
5213333043334240
610331054234130
71015261263036
oct152667017006
941015277830
1014342168070
11609a86416a
1229431b5946
1314774822a9
149a0b058c6
1558e1c1430
hex356dc1e06

14342168070 has 128 divisors (see below), whose sum is σ = 38927508480. Its totient is φ = 3756741120.

The previous prime is 14342168053. The next prime is 14342168081. The reversal of 14342168070 is 7086124341.

14342168070 is a `hidden beast` number, since 1 + 434 + 216 + 8 + 0 + 7 + 0 = 666.

14342168070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7832055 + ... + 7833885.

It is an arithmetic number, because the mean of its divisors is an integer number (304121160).

Almost surely, 214342168070 is an apocalyptic number.

14342168070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14342168070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463754240).

14342168070 is an abundant number, since it is smaller than the sum of its proper divisors (24585340410).

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

14342168070 is a wasteful number, since it uses less digits than its factorization.

14342168070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14342168070 in words is "fourteen billion, three hundred forty-two million, one hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 433 603 670 866 1005 1206 1299 1809 1831 2010 2165 2598 3015 3618 3662 3897 4330 5493 6030 6495 7794 9045 9155 10986 11691 12990 16479 18090 18310 19485 23382 27465 29011 32958 38970 49437 54930 58022 58455 82395 87033 98874 116910 122677 145055 164790 174066 245354 247185 261099 290110 368031 435165 494370 522198 613385 736062 783297 792823 870330 1104093 1226770 1305495 1566594 1585646 1840155 2208186 2378469 2610990 3312279 3680310 3916485 3964115 4756938 5520465 6624558 7135407 7832970 7928230 11040930 11892345 14270814 16561395 21406221 23784690 33122790 35677035 42812442 53119141 71354070 106238282 107031105 159357423 214062210 265595705 318714846 478072269 531191410 796787115 956144538 1434216807 1593574230 2390361345 2868433614 4780722690 7171084035 14342168070