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144311041021224 = 23371192984058547
BaseRepresentation
bin100000110100000000001000…
…010101100101010100101000
3200220222000000120111021001110
4200310000020111211110220
5122403343003000134344
61230531324345350320
742253062061251030
oct4064001025452450
9626860016437043
10144311041021224
1141a88a72525840
12142285437983a0
13626a61b8c598c
14278c997c7a8c0
1511a3cdc0e93b9
hex834008565528

144311041021224 has 128 divisors (see below), whose sum is σ = 450284829926400. Its totient is φ = 37443038730240.

The previous prime is 144311041021219. The next prime is 144311041021247. The reversal of 144311041021224 is 422120140113441.

It is a junction number, because it is equal to n+sod(n) for n = 144311041021191 and 144311041021200.

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, 40312482 + ... + 43746065.

It is an arithmetic number, because the mean of its divisors is an integer number (3517850233800).

Almost surely, 2144311041021224 is an apocalyptic number.

144311041021224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144311041021224 is an abundant number, since it is smaller than the sum of its proper divisors (305973788905176).

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

144311041021224 is a wasteful number, since it uses less digits than its factorization.

144311041021224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84059503 (or 84059499 counting only the distinct ones).

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

Adding to 144311041021224 its reverse (422120140113441), we get a palindrome (566431181134665).

The spelling of 144311041021224 in words is "one hundred forty-four trillion, three hundred eleven billion, forty-one million, twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 929 1848 1858 2787 3716 5574 6503 7432 10219 11148 13006 19509 20438 22296 26012 30657 39018 40876 52024 61314 71533 78036 81752 122628 143066 156072 214599 245256 286132 429198 572264 858396 1716792 84058547 168117094 252175641 336234188 504351282 588409829 672468376 924644017 1008702564 1176819658 1765229487 1849288034 2017405128 2353639316 2773932051 3530458974 3698576068 4707278632 5547864102 6472508119 7060917948 7397152136 11095728204 12945016238 14121835896 19417524357 22191456408 25890032476 38835048714 51780064952 77670097428 78090390163 155340194856 156180780326 234271170489 312361560652 468542340978 546632731141 624723121304 858994291793 937084681956 1093265462282 1639898193423 1717988583586 1874169363912 2186530924564 2576982875379 3279796386846 3435977167172 4373061849128 5153965750758 6012960042551 6559592773692 6871954334344 10307931501516 12025920085102 13119185547384 18038880127653 20615863003032 24051840170204 36077760255306 48103680340408 72155520510612 144311041021224