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1414203214424 = 23711131011748503
BaseRepresentation
bin10100100101000101000…
…101001000101001011000
312000012022020211211211112
4110211011011020221120
5141132242010330144
63001402002515452
7204113162661320
oct24450505105130
95005266754745
101414203214424
114a583a934530
121aa0b9965b88
13a3488357170
144c63aaa0280
1526bc003499e
hex14945148a58

1414203214424 has 128 divisors (see below), whose sum is σ = 3595483745280. Its totient is φ = 503568576000.

The previous prime is 1414203214423. The next prime is 1414203214427. The reversal of 1414203214424 is 4244123024141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414203214423) 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, 65444 + ... + 1683059.

It is an arithmetic number, because the mean of its divisors is an integer number (28089716760).

Almost surely, 21414203214424 is an apocalyptic number.

1414203214424 is a gapful number since it is divisible by the number (14) 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 1414203214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797741872640).

1414203214424 is an abundant number, since it is smaller than the sum of its proper divisors (2181280530856).

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

1414203214424 is a wasteful number, since it uses less digits than its factorization.

1414203214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748641 (or 1748637 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1414203214424 its reverse (4244123024141), we get a palindrome (5658326238565).

The spelling of 1414203214424 in words is "one trillion, four hundred fourteen billion, two hundred three million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 202202 404404 808808 1748503 3497006 6994012 12239521 13988024 19233533 22730539 24479042 38467066 45461078 48958084 76934132 90922156 97916168 134634731 153868264 159113773 176598803 181844312 250035929 269269462 318227546 353197606 500071858 538538924 636455092 706395212 1000143716 1077077848 1236191621 1272910184 1412790424 1750251503 1942586833 2000287432 2295784439 2472383242 3500503006 3885173666 4591568878 4944766484 7001006012 7770347332 9183137756 9889532968 13598107831 14002012024 15540694664 16070491073 18366275512 25253628829 27196215662 32140982146 50507257658 54392431324 64281964292 101014515316 108784862648 128563928584 176775401803 202029030632 353550803606 707101607212 1414203214424