Search a number
-
+
1414113132336 = 2433110328332603
BaseRepresentation
bin10100100100111111101…
…101011111111100110000
312000012001222100012102220
4110210333231133330300
5141132100430213321
63001345024041040
7204111020204322
oct24447755377460
95005058305386
101414113132336
114a57a3aa7523
121aa093763180
13a34727a6a58
144c62cb31612
1526bb718d9c6
hex1493fb5ff30

1414113132336 has 160 divisors (see below), whose sum is σ = 3821151240192. Its totient is φ = 450126685440.

The previous prime is 1414113132319. The next prime is 1414113132349. The reversal of 1414113132336 is 6332313114141.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1414113132297 and 1414113132306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43357411 + ... + 43390013.

Almost surely, 21414113132336 is an apocalyptic number.

1414113132336 is a gapful number since it is divisible by the number (16) 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 1414113132336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910575620096).

1414113132336 is an abundant number, since it is smaller than the sum of its proper divisors (2407038107856).

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

1414113132336 is a wasteful number, since it uses less digits than its factorization.

1414113132336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33031 (or 33025 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

Adding to 1414113132336 its reverse (6332313114141), we get a palindrome (7746426246477).

The spelling of 1414113132336 in words is "one trillion, four hundred fourteen billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 103 124 186 206 248 283 309 372 412 496 566 618 744 824 849 1132 1236 1488 1648 1698 2264 2472 3193 3396 4528 4944 6386 6792 8773 9579 12772 13584 17546 19158 25544 26319 29149 32603 35092 38316 51088 52638 58298 65206 70184 76632 87447 97809 105276 116596 130412 140368 153264 174894 195618 210552 233192 260824 349788 391236 421104 466384 521648 699576 782472 903619 1010693 1399152 1564944 1807238 2021386 2710857 3032079 3358109 3614476 4042772 5421714 6064158 6716218 7228952 8085544 9226649 10074327 10843428 12128316 13432436 14457904 16171088 18453298 20148654 21686856 24256632 26864872 27679947 36906596 40297308 43373712 48513264 53729744 55359894 73813192 80594616 104101379 110719788 147626384 161189232 208202758 221439576 286026119 312304137 416405516 442879152 572052238 624608274 832811032 858078357 950344847 1144104476 1249216548 1665622064 1716156714 1900689694 2288208952 2498433096 2851034541 3432313428 3801379388 4576417904 4996866192 5702069082 6864626856 7602758776 11404138164 13729253712 15205517552 22808276328 29460690257 45616552656 58921380514 88382070771 117842761028 176764141542 235685522056 353528283084 471371044112 707056566168 1414113132336