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11141331122432 = 287291039206341
BaseRepresentation
bin1010001000100000101100…
…0101010111100100000000
31110110002201112002120202102
42202020023011113210000
52430014421231404212
635410131252005532
72226635366665130
oct242101305274400
943402645076672
1011141331122432
113606014a68035
1212bb3213008a8
1362a8139c9b54
142a73598a6ac0
15144c291b75c2
hexa220b157900

11141331122432 has 144 divisors (see below), whose sum is σ = 26318014195200. Its totient is φ = 4605746503680.

The previous prime is 11141331122423. The next prime is 11141331122437. The reversal of 11141331122432 is 23422113314111.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 11141331122395 and 11141331122404.

It is not an unprimeable number, because it can be changed into a prime (11141331122437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53891582 + ... + 54097922.

Almost surely, 211141331122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141331122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159007097600).

11141331122432 is an abundant number, since it is smaller than the sum of its proper divisors (15176683072768).

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

11141331122432 is a wasteful number, since it uses less digits than its factorization.

11141331122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207432 (or 207418 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 11141331122432 its reverse (23422113314111), we get a palindrome (34563444436543).

The spelling of 11141331122432 in words is "eleven trillion, one hundred forty-one billion, three hundred thirty-one million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1039 1624 1792 1856 2078 3248 3712 4156 6496 7273 7424 8312 12992 14546 16624 25984 29092 30131 33248 51968 58184 60262 66496 116368 120524 132992 206341 210917 232736 241048 265984 412682 421834 465472 482096 825364 843668 930944 964192 1444387 1650728 1687336 1861888 1928384 2888774 3301456 3374672 3856768 5777548 5983889 6602912 6749344 7713536 11555096 11967778 13205824 13498688 23110192 23935556 26411648 26997376 41887223 46220384 47871112 52823296 53994752 83774446 92440768 95742224 167548892 184881536 191484448 214388299 335097784 369763072 382968896 428776598 670195568 765937792 857553196 1340391136 1500718093 1531875584 1715106392 2680782272 3001436186 3430212784 5361564544 6002872372 6217260671 6860425568 10723129088 12005744744 12434521342 13720851136 24011489488 24869042684 27441702272 43520824697 48022978976 49738085368 54883404544 87041649394 96045957952 99476170736 174083298788 192091915904 198952341472 348166597576 384183831808 397904682944 696333195152 795809365888 1392666390304 1591618731776 2785332780608 5570665561216 11141331122432