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14510233120 = 2551940111903
BaseRepresentation
bin11011000001110000…
…01001011000100000
31101110020120012211111
431200320021120200
5214204104424440
610355500353104
71022401642435
oct154070113040
941406505744
1014510233120
1161767149a9
12298b545794
1314a3237976
149b9173b8c
1559dd1d4ea
hex360e09620

14510233120 has 96 divisors (see below), whose sum is σ = 36177684480. Its totient is φ = 5484441600.

The previous prime is 14510233117. The next prime is 14510233181. The reversal of 14510233120 is 2133201541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14510233091 and 14510233100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213089 + ... + 1224991.

It is an arithmetic number, because the mean of its divisors is an integer number (376850880).

Almost surely, 214510233120 is an apocalyptic number.

14510233120 is a gapful number since it is divisible by the number (10) 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 14510233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088842240).

14510233120 is an abundant number, since it is smaller than the sum of its proper divisors (21667451360).

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

14510233120 is a wasteful number, since it uses less digits than its factorization.

14510233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 14510233120 its reverse (2133201541), we get a palindrome (16643434661).

The spelling of 14510233120 in words is "fourteen billion, five hundred ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 401 608 760 802 1520 1604 2005 3040 3208 4010 6416 7619 8020 11903 12832 15238 16040 23806 30476 32080 38095 47612 59515 60952 64160 76190 95224 119030 121904 152380 190448 226157 238060 243808 304760 380896 452314 476120 609520 904628 952240 1130785 1219040 1809256 1904480 2261570 3618512 4523140 4773103 7237024 9046280 9546206 18092560 19092412 23865515 36185120 38184824 47731030 76369648 90688957 95462060 152739296 181377914 190924120 362755828 381848240 453444785 725511656 763696480 906889570 1451023312 1813779140 2902046624 3627558280 7255116560 14510233120