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14157331920 = 2432519662961
BaseRepresentation
bin11010010111101011…
…11011110111010000
31100112122111222101200
431023311323313100
5212443234110140
610300452431200
71010555223114
oct151365736720
940478458350
1014157331920
116005499016
1228b1318500
1314480a70a4
1498434d744
1557cd60030
hex34bd7bdd0

14157331920 has 60 divisors (see below), whose sum is σ = 47545042116. Its totient is φ = 3775288320.

The previous prime is 14157331871. The next prime is 14157331921. The reversal of 14157331920 is 2913375141.

It can be written as a sum of positive squares in 2 ways, for example, as 7650651024 + 6506680896 = 87468^2 + 80664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (14157331921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9830761 + ... + 9832200.

Almost surely, 214157331920 is an apocalyptic number.

14157331920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14157331920 is an abundant number, since it is smaller than the sum of its proper divisors (33387710196).

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

14157331920 is a wasteful number, since it uses less digits than its factorization.

14157331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662980 (or 19662971 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 14157331920 in words is "fourteen billion, one hundred fifty-seven million, three hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19662961 39325922 58988883 78651844 98314805 117977766 157303688 176966649 196629610 235955532 294944415 314607376 353933298 393259220 471911064 589888830 707866596 786518440 884833245 943822128 1179777660 1415733192 1573036880 1769666490 2359555320 2831466384 3539332980 4719110640 7078665960 14157331920