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14214112324410 = 23523292689264169
BaseRepresentation
bin1100111011010111101100…
…0111011010101100111010
31212022212002221000222221210
43032311323013122230322
53330341000223340120
650121512325143550
72664635645155365
oct316657307325472
955285087028853
1014214112324410
114590197934009
12171695955abb6
137c1500c1c32b
14371d769050dc
15199b1d291ce0
hexced7b1dab3a

14214112324410 has 128 divisors (see below), whose sum is σ = 36838400832000. Its totient is φ = 3499291901952.

The previous prime is 14214112324403. The next prime is 14214112324417. The reversal of 14214112324410 is 1442321141241.

It is an interprime number because it is at equal distance from previous prime (14214112324403) and next prime (14214112324417).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14214112324417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53674806 + ... + 53938974.

It is an arithmetic number, because the mean of its divisors is an integer number (287800006500).

Almost surely, 214214112324410 is an apocalyptic number.

14214112324410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214112324410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419200416000).

14214112324410 is an abundant number, since it is smaller than the sum of its proper divisors (22624288507590).

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

14214112324410 is a wasteful number, since it uses less digits than its factorization.

14214112324410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266920.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14214112324410 its reverse (1442321141241), we get a palindrome (15656433465651).

The spelling of 14214112324410 in words is "fourteen trillion, two hundred fourteen billion, one hundred twelve million, three hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 2689 3335 4002 5378 6670 8067 10005 13445 16134 20010 26890 40335 61847 77981 80670 123694 155962 185541 233943 264169 309235 371082 389905 467886 528338 618470 779810 792507 927705 1169715 1320845 1585014 1793563 1855410 2339430 2641690 3587126 3962535 5380689 6075887 7660901 7925070 8967815 10761378 12151774 15321802 17935630 18227661 22982703 26903445 30379435 36455322 38304505 45965406 53806890 60758870 76609010 91138305 114913515 176200723 182276610 229827030 352401446 528602169 710350441 881003615 1057204338 1420700882 1762007230 2131051323 2643010845 3551752205 4262102646 5286021690 7103504410 10655256615 16338060143 20600162789 21310513230 32676120286 41200325578 49014180429 61800488367 81690300715 98028360858 103000813945 123600976734 163380601430 206001627890 245070902145 309002441835 473803744147 490141804290 618004883670 947607488294 1421411232441 2369018720735 2842822464882 4738037441470 7107056162205 14214112324410