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14250228544 = 263747612099
BaseRepresentation
bin11010100010110000…
…10011101101000000
31100210010022121121101
431101120103231000
5213141024303134
610314011504144
71013063641546
oct152130235500
940703277541
1014250228544
116052978692
122918458054
1314614015c6
14992811d96
155860aee14
hex351613b40

14250228544 has 112 divisors (see below), whose sum is σ = 30160569600. Its totient is φ = 6670632960.

The previous prime is 14250228541. The next prime is 14250228571. The reversal of 14250228544 is 44582205241.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250228541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6788007 + ... + 6790105.

It is an arithmetic number, because the mean of its divisors is an integer number (269290800).

Almost surely, 214250228544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14250228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080284800).

14250228544 is an abundant number, since it is smaller than the sum of its proper divisors (15910341056).

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

14250228544 is a wasteful number, since it uses less digits than its factorization.

14250228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

The spelling of 14250228544 in words is "fourteen billion, two hundred fifty million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 47 61 64 74 94 122 148 188 244 296 376 488 592 752 976 1184 1504 1739 1952 2099 2257 2368 2867 3008 3478 3904 4198 4514 5734 6956 8396 9028 11468 13912 16792 18056 22936 27824 33584 36112 45872 55648 67168 72224 77663 91744 98653 106079 111296 128039 134336 144448 155326 183488 197306 212158 256078 310652 394612 424316 512156 621304 789224 848632 1024312 1242608 1578448 1697264 2048624 2485216 3156896 3394528 3650161 4097248 4737443 4970432 6017833 6313792 6789056 7300322 8194496 9474886 12035666 14600644 18949772 24071332 29201288 37899544 48142664 58402576 75799088 96285328 116805152 151598176 192570656 222659821 233610304 303196352 385141312 445319642 890639284 1781278568 3562557136 7125114272 14250228544