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144443011411440 = 24325728659327661
BaseRepresentation
bin100000110101111011000010…
…011000101010110111110000
3200221102121122211001200220200
4200311323002120222313300
5122413023241410131230
61231112111533035200
742265443322125210
oct4065730230526760
9627377584050820
10144443011411440
1142029a34358235
121424a034325b00
136279bc0a78381
142795116cd4240
1511a7462e22160
hex835ec262adf0

144443011411440 has 120 divisors (see below), whose sum is σ = 554386034293728. Its totient is φ = 33015545464320.

The previous prime is 144443011411393. The next prime is 144443011411453. The reversal of 144443011411440 is 44114110344441.

144443011411440 is a `hidden beast` number, since 1 + 4 + 4 + 44 + 30 + 1 + 141 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144443011411395 and 144443011411404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14329658791 + ... + 14329668870.

Almost surely, 2144443011411440 is an apocalyptic number.

144443011411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144443011411440 is an abundant number, since it is smaller than the sum of its proper divisors (409943022882288).

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

144443011411440 is a wasteful number, since it uses less digits than its factorization.

144443011411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28659327687 (or 28659327678 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144443011411440 its reverse (44114110344441), we get a palindrome (188557121755881).

The spelling of 144443011411440 in words is "one hundred forty-four trillion, four hundred forty-three billion, eleven million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 28659327661 57318655322 85977982983 114637310644 143296638305 171955965966 200615293627 229274621288 257933948949 286593276610 343911931932 401230587254 429889914915 458549242576 515867897898 573186553220 601845880881 687823863864 802461174508 859779829830 1003076468135 1031735795796 1146373106440 1203691761762 1289669744745 1375647727728 1604922349016 1719559659660 1805537642643 2006152936270 2063471591592 2292746212880 2407383523524 2579339489490 3009229404405 3209844698032 3439119319320 3611075285286 4012305872540 4126943183184 4814767047048 5158678978980 6018458808810 6878238638640 7222150570572 8024611745080 9027688213215 9629534094096 10317357957960 12036917617620 14444301141144 16049223490160 18055376426430 20634715915920 24073835235240 28888602282288 36110752852860 48147670470480 72221505705720 144443011411440