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1311444454254 = 2311235961240047
BaseRepresentation
bin10011000101011000001…
…011100100101101101110
311122101001211002222002020
4103011120023210231232
5132441314240014004
62442245210011010
7163514546635254
oct23053013445556
94571054088066
101311444454254
114661a9229050
12192200116a66
139689012946c
144768d4b25d4
15241a8a098d9
hex131582e4b6e

1311444454254 has 128 divisors (see below), whose sum is σ = 3086133903360. Its totient is φ = 367558435200.

The previous prime is 1311444454217. The next prime is 1311444454303. The reversal of 1311444454254 is 4524544441131.

It is a congruent number.

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, 5343259 + ... + 5583305.

It is an arithmetic number, because the mean of its divisors is an integer number (24110421120).

Almost surely, 21311444454254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311444454254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543066951680).

1311444454254 is an abundant number, since it is smaller than the sum of its proper divisors (1774689449106).

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

1311444454254 is a wasteful number, since it uses less digits than its factorization.

1311444454254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240206.

The product of its digits is 614400, while the sum is 42.

Adding to 1311444454254 its reverse (4524544441131), we get a palindrome (5835988895385).

The spelling of 1311444454254 in words is "one trillion, three hundred eleven billion, four hundred forty-four million, four hundred fifty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 59 61 66 69 118 122 138 177 183 253 354 366 506 649 671 759 1298 1342 1357 1403 1518 1947 2013 2714 2806 3599 3894 4026 4071 4209 7198 8142 8418 10797 14927 15433 21594 29854 30866 39589 44781 46299 79178 82777 89562 92598 118767 165554 237534 240047 248331 480094 496662 720141 910547 1440282 1821094 2640517 2731641 5281034 5463282 5521081 7921551 11042162 14162773 14642867 15843102 16563243 28325546 29285734 33126486 42488319 43928601 60731891 84976638 87857202 121463782 155790503 161071537 182195673 311581006 322143074 325743779 336785941 364391346 467371509 483214611 651487558 673571882 863929153 934743018 966429222 977231337 1010357823 1727858306 1954462674 2020715646 2591787459 3583181569 3704645351 5183574918 7166363138 7409290702 9503220683 10749544707 11113936053 19006441366 19870370519 21499089414 22227872106 28509662049 39740741038 57019324098 59611111557 119222223114 218574075709 437148151418 655722227127 1311444454254