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14032110420 = 22325175977723
BaseRepresentation
bin11010001000110000…
…10000001101010100
31100012220220001210100
431010120100031110
5212214210013140
610240220454100
71004504653626
oct150430201524
940186801710
1014032110420
115a50840279
1228773aa330
131428172623
14971874c16
15571d77530
hex344610354

14032110420 has 144 divisors (see below), whose sum is σ = 45832288320. Its totient is φ = 3462048768.

The previous prime is 14032110409. The next prime is 14032110431. The reversal of 14032110420 is 2401123041.

It is an interprime number because it is at equal distance from previous prime (14032110409) and next prime (14032110431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14032110393 and 14032110402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141679 + ... + 219401.

It is an arithmetic number, because the mean of its divisors is an integer number (318279780).

Almost surely, 214032110420 is an apocalyptic number.

14032110420 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 14032110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916144160).

14032110420 is an abundant number, since it is smaller than the sum of its proper divisors (31800177900).

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

14032110420 is a wasteful number, since it uses less digits than its factorization.

14032110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77814 (or 77809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14032110420 its reverse (2401123041), we get a palindrome (16433233461).

The spelling of 14032110420 in words is "fourteen billion, thirty-two million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 59 60 68 85 90 102 118 153 170 177 180 204 236 255 295 306 340 354 510 531 590 612 708 765 885 1003 1020 1062 1180 1530 1770 2006 2124 2655 3009 3060 3540 4012 5015 5310 6018 9027 10030 10620 12036 15045 18054 20060 30090 36108 45135 60180 77723 90270 155446 180540 233169 310892 388615 466338 699507 777230 932676 1165845 1321291 1399014 1554460 2331690 2642582 2798028 3497535 3963873 4585657 4663380 5285164 6606455 6995070 7927746 9171314 11891619 13212910 13756971 13990140 15855492 18342628 19819365 22928285 23783238 26425820 27513942 39638730 41270913 45856570 47566476 55027884 59458095 68784855 77956169 79277460 82541826 91713140 118916190 137569710 155912338 165083652 206354565 233868507 237832380 275139420 311824676 389780845 412709130 467737014 701605521 779561690 825418260 935474028 1169342535 1403211042 1559123380 2338685070 2806422084 3508027605 4677370140 7016055210 14032110420