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443403142212140 = 2251113717623834787
BaseRepresentation
bin110010011010001011101011…
…0110010001010101000101100
32011010221221000100122200121122
41210310113112302022220230
5431104204113401242030
64211012331431320112
7162252551133352505
oct14464272662125054
92133857010580548
10443403142212140
11119311242312280
12418925bb220038
1316054976c6b166
147b6cb80243bac
15363ddeec6d8e5
hex19345d6c8aa2c

443403142212140 has 96 divisors (see below), whose sum is σ = 1023270147777024. Its totient is φ = 160051315944960.

The previous prime is 443403142212137. The next prime is 443403142212157. The reversal of 443403142212140 is 41212241304344.

It is a self number, because there is not a number n which added to its sum of digits gives 443403142212140.

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 31 ways as a sum of consecutive naturals, for example, 530739827 + ... + 531574613.

It is an arithmetic number, because the mean of its divisors is an integer number (10659064039344).

Almost surely, 2443403142212140 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 443403142212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511635073888512).

443403142212140 is an abundant number, since it is smaller than the sum of its proper divisors (579867005564884).

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

443403142212140 is a wasteful number, since it uses less digits than its factorization.

443403142212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852567 (or 852565 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 443403142212140 its reverse (41212241304344), we get a palindrome (484615383516484).

The spelling of 443403142212140 in words is "four hundred forty-three trillion, four hundred three billion, one hundred forty-two million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 17623 30140 35246 70492 88115 176230 193853 352460 387706 775412 834787 969265 1669574 1938530 2414351 3339148 3877060 4173935 4828702 8347870 9182657 9657404 12071755 16695740 18365314 24143510 26557861 36730628 45913285 48287020 53115722 91826570 106231444 114365819 132789305 183653140 228731638 265578610 457463276 531157220 571829095 1143658190 1258024009 2287316380 2516048018 5032096036 6290120045 12580240090 14711451301 25160480180 29422902602 58845805204 73557256505 147114513010 161825964311 294229026020 323651928622 647303857244 809129821555 1618259643110 2015468828237 3236519286220 4030937656474 8061875312948 10077344141185 20154688282370 22170157110607 40309376564740 44340314221214 88680628442428 110850785553035 221701571106070 443403142212140