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14033211120144 = 2432271511970249
BaseRepresentation
bin1100110000110101110010…
…0100000101101000010000
31211200120011121111122212100
43030031130210011220100
53314410004021321034
645502433532400400
72645603024252526
oct314153444055020
954616147448770
1014033211120144
1145204a6917817
1216a7892016100
137aa43167c228
143672d5158316
151950818c0099
hexcc35c905a10

14033211120144 has 120 divisors (see below), whose sum is σ = 39426682880000. Its totient is φ = 4659499261440.

The previous prime is 14033211120053. The next prime is 14033211120193. The reversal of 14033211120144 is 44102111233041.

It is a happy number.

14033211120144 is a `hidden beast` number, since 1 + 403 + 3 + 2 + 1 + 11 + 201 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199728732 + ... + 199798980.

Almost surely, 214033211120144 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 14033211120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713341440000).

14033211120144 is an abundant number, since it is smaller than the sum of its proper divisors (25393471759856).

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

14033211120144 is a wasteful number, since it uses less digits than its factorization.

14033211120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75653 (or 75644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14033211120144 its reverse (44102111233041), we get a palindrome (58135322353185).

The spelling of 14033211120144 in words is "fourteen trillion, thirty-three billion, two hundred eleven million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 5119 6504 9756 10238 13008 15357 19512 20476 30714 39024 40952 46071 61428 70249 81904 92142 122856 140498 184284 210747 245712 280996 368568 421494 561992 632241 737136 842988 1123984 1264482 1387249 1685976 2528964 2774498 3371952 4161747 5057928 5548996 8323494 10115856 11097992 12485241 16646988 19037479 22195984 24970482 33293976 38074958 49940964 57112437 66587952 76149916 99881928 114224874 152299832 171337311 199763856 228449748 304599664 342674622 359604631 456899496 685349244 719209262 913798992 1078813893 1370698488 1438418524 2157627786 2741396976 2876837048 3236441679 4315255572 5753674096 6472883358 8630511144 12945766716 17261022288 25891533432 51783066864 97452855001 194905710002 292358565003 389811420004 584717130006 779622840008 877075695009 1169434260012 1559245680016 1754151390018 2338868520024 3508302780036 4677737040048 7016605560072 14033211120144