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14023250120 = 23511371814759
BaseRepresentation
bin11010000111101100…
…11101000011001000
31100012022012220202002
431003312131003020
5212204423000440
610235302530132
71004336442065
oct150366350310
940168186662
1014023250120
115a46839410
122874436948
13142638c749
14970609c6c
155711c7115
hex343d9d0c8

14023250120 has 128 divisors (see below), whose sum is σ = 35553772800. Its totient is φ = 4933094400.

The previous prime is 14023250119. The next prime is 14023250123. The reversal of 14023250120 is 2105232041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14023250092 and 14023250101.

It is not an unprimeable number, because it can be changed into a prime (14023250123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944301 + ... + 2949059.

It is an arithmetic number, because the mean of its divisors is an integer number (277763850).

Almost surely, 214023250120 is an apocalyptic number.

14023250120 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 14023250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

14023250120 is an abundant number, since it is smaller than the sum of its proper divisors (21530522680).

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

14023250120 is a wasteful number, since it uses less digits than its factorization.

14023250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14023250120 its reverse (2105232041), we get a palindrome (16128482161).

The spelling of 14023250120 in words is "fourteen billion, twenty-three million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 181 185 220 296 362 370 407 440 724 740 814 905 1448 1480 1628 1810 1991 2035 3256 3620 3982 4070 4759 6697 7240 7964 8140 9518 9955 13394 15928 16280 19036 19910 23795 26788 33485 38072 39820 47590 52349 53576 66970 73667 79640 95180 104698 133940 147334 176083 190360 209396 261745 267880 294668 352166 368335 418792 523490 589336 704332 736670 861379 880415 1046980 1408664 1473340 1722758 1760830 1936913 2093960 2946680 3445516 3521660 3873826 4306895 6891032 7043320 7747652 8613790 9475169 9684565 15495304 17227580 18950338 19369130 31871023 34455160 37900676 38738260 47375845 63742046 75801352 77476520 94751690 127484092 159355115 189503380 254968184 318710230 350581253 379006760 637420460 701162506 1274840920 1402325012 1752906265 2804650024 3505812530 7011625060 14023250120