Search a number
-
+
1311221441442 = 2311174373372299
BaseRepresentation
bin10011000101001010111…
…000110110001110100010
311122100111021110202000110
4103011022320312032202
5132440340142111232
62442211122032150
7163506201233163
oct23051270661642
94570437422013
101311221441442
114660a4358240
121921594a8656
1396855b75613
144766ba1d76a
1524194156acc
hex1314ae363a2

1311221441442 has 128 divisors (see below), whose sum is σ = 3142045209600. Its totient is φ = 360265328640.

The previous prime is 1311221441423. The next prime is 1311221441449. The reversal of 1311221441442 is 2441441221131.

It is not an unprimeable number, because it can be changed into a prime (1311221441449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3335809 + ... + 3708107.

It is an arithmetic number, because the mean of its divisors is an integer number (24547228200).

Almost surely, 21311221441442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311221441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571022604800).

1311221441442 is an abundant number, since it is smaller than the sum of its proper divisors (1830823768158).

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

1311221441442 is a wasteful number, since it uses less digits than its factorization.

1311221441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372448.

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

Adding to 1311221441442 its reverse (2441441221131), we get a palindrome (3752662662573).

The spelling of 1311221441442 in words is "one trillion, three hundred eleven billion, two hundred twenty-one million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 43 51 66 73 86 102 129 146 187 219 258 374 438 473 561 731 803 946 1122 1241 1419 1462 1606 2193 2409 2482 2838 3139 3723 4386 4818 6278 7446 8041 9417 13651 16082 18834 24123 27302 34529 40953 48246 53363 69058 81906 103587 106726 160089 207174 320178 372299 586993 744598 1116897 1173986 1760979 2233794 3521958 4095289 6329083 8190578 12285867 12658166 16008857 18987249 24571734 27177827 32017714 37974498 48026571 54355654 69619913 81533481 96053142 139239826 163066962 176097427 208859739 272150569 298956097 352194854 417719478 462023059 528292281 544301138 597912194 816451707 896868291 924046118 1056584562 1168646561 1386069177 1632903414 1793736582 2337293122 2772138354 2993656259 3505939683 5082253649 5987312518 7011879366 8980968777 10164507298 12855112171 15246760947 17961937554 19866991537 25710224342 30493521894 38565336513 39733983074 59600974611 77130673026 119201949222 218536906907 437073813814 655610720721 1311221441442