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14321104004420 = 22541831271656841
BaseRepresentation
bin1101000001100110010001…
…0100010010010101000100
31212201002021100202111002222
43100121210110102111010
53334114110111120140
650243005132151512
73005444210351543
oct320314424222504
955632240674088
1014321104004420
114621600950854
121733638908598
137cb6220b0a25
1437720635815a
1519c7d12005b5
hexd0664512544

14321104004420 has 96 divisors (see below), whose sum is σ = 31424540184576. Its totient is φ = 5477910681600.

The previous prime is 14321104004419. The next prime is 14321104004429. The reversal of 14321104004420 is 2440040112341.

It is a self number, because there is not a number n which added to its sum of digits gives 14321104004420.

It is not an unprimeable number, because it can be changed into a prime (14321104004429) 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, 7815200 + ... + 9472040.

It is an arithmetic number, because the mean of its divisors is an integer number (327338960256).

Almost surely, 214321104004420 is an apocalyptic number.

14321104004420 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 14321104004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712270092288).

14321104004420 is an abundant number, since it is smaller than the sum of its proper divisors (17103436180156).

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

14321104004420 is a wasteful number, since it uses less digits than its factorization.

14321104004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657101 (or 1657099 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14321104004420 its reverse (2440040112341), we get a palindrome (16761144116761).

The spelling of 14321104004420 in words is "fourteen trillion, three hundred twenty-one billion, one hundred four million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 83 127 164 166 205 254 332 410 415 508 635 820 830 1270 1660 2540 3403 5207 6806 10414 10541 13612 17015 20828 21082 26035 34030 42164 52070 52705 68060 104140 105410 210820 432181 864362 1656841 1728724 2160905 3313682 4321810 6627364 8284205 8643620 16568410 33136820 67930481 135860962 137517803 210418807 271721924 275035606 339652405 420837614 550071212 679304810 687589015 841675228 1052094035 1358609620 1375178030 2104188070 2750356060 4208376140 5638229923 8627171087 11276459846 17254342174 17464760981 22552919692 28191149615 34508684348 34929521962 43135855435 56382299230 69859043924 86271710870 87323804905 112764598460 172543421740 174647609810 349295219620 716055200221 1432110400442 2864220800884 3580276001105 7160552002210 14321104004420