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14173302132 = 22331166118049
BaseRepresentation
bin11010011001100101…
…10110110101110100
31100120202120100102000
431030302312311310
5213011331132012
610302223015300
71011141036363
oct151462666564
940522510360
1014173302132
116013506740
1228b673a530
13144b4a9212
149865097da
1557e466ddc
hex34ccb6d74

14173302132 has 96 divisors (see below), whose sum is σ = 40148976000. Its totient is φ = 4288204800.

The previous prime is 14173302131. The next prime is 14173302163. The reversal of 14173302132 is 23120337141.

It is a happy number.

14173302132 is a `hidden beast` number, since 1 + 417 + 3 + 30 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14173302096 and 14173302105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14173302131) 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 31 ways as a sum of consecutive naturals, for example, 776244 + ... + 794292.

It is an arithmetic number, because the mean of its divisors is an integer number (418218500).

Almost surely, 214173302132 is an apocalyptic number.

14173302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14173302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20074488000).

14173302132 is an abundant number, since it is smaller than the sum of its proper divisors (25975673868).

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

14173302132 is a wasteful number, since it uses less digits than its factorization.

14173302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18734 (or 18726 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 14173302132 its reverse (23120337141), we get a palindrome (37293639273).

The spelling of 14173302132 in words is "fourteen billion, one hundred seventy-three million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 661 1188 1322 1983 2644 3966 5949 7271 7932 11898 14542 17847 18049 21813 23796 29084 35694 36098 43626 54147 65439 71388 72196 87252 108294 130878 162441 196317 198539 216588 261756 324882 392634 397078 487323 595617 649764 785268 794156 974646 1191234 1786851 1949292 2382468 3573702 5360553 7147404 10721106 11930389 21442212 23860778 35791167 47721556 71582334 107373501 131234279 143164668 214747002 262468558 322120503 393702837 429494004 524937116 644241006 787405674 1181108511 1288482012 1574811348 2362217022 3543325533 4724434044 7086651066 14173302132