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14103114320 = 24517831031213
BaseRepresentation
bin11010010001001110…
…00111001001010000
31100101212111102211102
431020213013021100
5212340344124240
610251234403532
71006326331241
oct151047071120
940355442742
1014103114320
115a87927589
1228971305a8
131439aa3079
1497b078cc8
15578200815
hex3489c7250

14103114320 has 160 divisors (see below), whose sum is σ = 35507227392. Its totient is φ = 5190230016.

The previous prime is 14103114317. The next prime is 14103114343. The reversal of 14103114320 is 2341130141.

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 = 14103114292 and 14103114301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11626034 + ... + 11627246.

Almost surely, 214103114320 is an apocalyptic number.

14103114320 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 14103114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753613696).

14103114320 is an abundant number, since it is smaller than the sum of its proper divisors (21404113072).

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

14103114320 is a wasteful number, since it uses less digits than its factorization.

14103114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14103114320 its reverse (2341130141), we get a palindrome (16444244461).

The spelling of 14103114320 in words is "fourteen billion, one hundred three million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 103 136 166 170 206 272 332 340 412 415 515 664 680 824 830 1030 1213 1328 1360 1411 1648 1660 1751 2060 2426 2822 3320 3502 4120 4852 5644 6065 6640 7004 7055 8240 8549 8755 9704 11288 12130 14008 14110 17098 17510 19408 20621 22576 24260 28016 28220 34196 35020 41242 42745 48520 56440 68392 70040 82484 85490 97040 100679 103105 112880 124939 136784 140080 145333 164968 170980 201358 206210 249878 290666 329936 341960 402716 412420 499756 503395 581332 624695 683920 726665 805432 824840 999512 1006790 1162664 1249390 1453330 1610864 1649680 1711543 1999024 2013580 2123963 2325328 2498780 2906660 3423086 4027160 4247926 4997560 5813320 6846172 8054320 8495852 8557715 9995120 10369937 10619815 11626640 13692344 16991704 17115430 20739874 21239630 27384688 33983408 34230860 41479748 42479260 51849685 68461720 82959496 84958520 103699370 136923440 165918992 169917040 176288929 207398740 352577858 414797480 705155716 829594960 881444645 1410311432 1762889290 2820622864 3525778580 7051557160 14103114320