Search a number
-
+
1414113124242 = 2371310136437039
BaseRepresentation
bin10100100100111111101…
…101011101111110010010
312000012001222022210100010
4110210333231131332102
5141132100424433432
63001345023535350
7204111020141610
oct24447755357622
95005058283303
101414113124242
114a57a3aa1435
121aa09375a556
13a34727a3170
144c62cb2c6b0
1526bb718b3cc
hex1493fb5df92

1414113124242 has 128 divisors (see below), whose sum is σ = 3516822650880. Its totient is φ = 369106502400.

The previous prime is 1414113124187. The next prime is 1414113124271. The reversal of 1414113124242 is 2424213114141.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200893359 + ... + 200900397.

It is an arithmetic number, because the mean of its divisors is an integer number (27475176960).

Almost surely, 21414113124242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414113124242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758411325440).

1414113124242 is an abundant number, since it is smaller than the sum of its proper divisors (2102709526638).

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

1414113124242 is a wasteful number, since it uses less digits than its factorization.

1414113124242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808.

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

Adding to 1414113124242 its reverse (2424213114141), we get a palindrome (3838326238383).

The spelling of 1414113124242 in words is "one trillion, four hundred fourteen billion, one hundred thirteen million, one hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 1313 1414 2121 2626 3643 3939 4242 7039 7286 7878 9191 10929 14078 18382 21117 21858 25501 27573 42234 47359 49273 51002 55146 76503 91507 94718 98546 142077 147819 153006 183014 274521 284154 295638 331513 367943 549042 640549 663026 710939 735886 994539 1103829 1281098 1421878 1921647 1989078 2132817 2207658 2575601 3843294 4265634 4783259 4976573 5151202 7726803 9242207 9566518 9953146 14349777 14929719 15453606 18484414 25643077 27726621 28699554 29859438 33482813 51286154 55453242 64695449 66965626 76929231 100448439 129390898 153858462 179501539 194086347 200896878 333360001 359003078 388172694 538504617 666720002 1000080003 1077009234 2000160006 2333520007 2589950777 4667040014 5179901554 7000560021 7769852331 14001120042 15539704662 18129655439 33669360101 36259310878 54388966317 67338720202 101008080303 108777932634 202016160606 235685520707 471371041414 707056562121 1414113124242