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14250345240 = 2335672337607
BaseRepresentation
bin11010100010110001…
…10000001100011000
31100210010112112200110
431101120300030120
5213141042021430
610314014204320
71013064636015
oct152130601430
940703475613
1014250345240
116052a4832a
1229184b36a0
131461442761
1499284270c
155860d47b0
hex351630318

14250345240 has 128 divisors (see below), whose sum is σ = 43581058560. Its totient is φ = 3726818304.

The previous prime is 14250345229. The next prime is 14250345247. The reversal of 14250345240 is 4254305241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14250345198 and 14250345207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250345247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1869517 + ... + 1877123.

It is an arithmetic number, because the mean of its divisors is an integer number (340477020).

Almost surely, 214250345240 is an apocalyptic number.

14250345240 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 14250345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790529280).

14250345240 is an abundant number, since it is smaller than the sum of its proper divisors (29330713320).

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

14250345240 is a wasteful number, since it uses less digits than its factorization.

14250345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 14250345240 in words is "fourteen billion, two hundred fifty million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 233 268 335 402 466 536 670 699 804 932 1005 1165 1340 1398 1608 1864 2010 2330 2680 2796 3495 4020 4660 5592 6990 7607 8040 9320 13980 15214 15611 22821 27960 30428 31222 38035 45642 46833 60856 62444 76070 78055 91284 93666 114105 124888 152140 156110 182568 187332 228210 234165 304280 312220 374664 456420 468330 509669 624440 912840 936660 1019338 1529007 1772431 1873320 2038676 2548345 3058014 3544862 4077352 5096690 5317293 6116028 7089724 7645035 8862155 10193380 10634586 12232056 14179448 15290070 17724310 20386760 21269172 26586465 30580140 35448620 42538344 53172930 61160280 70897240 106345860 118752877 212691720 237505754 356258631 475011508 593764385 712517262 950023016 1187528770 1425034524 1781293155 2375057540 2850069048 3562586310 4750115080 7125172620 14250345240