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4411074034440 = 2332543284953103
BaseRepresentation
bin100000000110000100010…
…0000000011101100001000
3120121200202100000022022200
41000030020200003230020
51034232334423100230
613214230333120200
7633455345435613
oct100141040035410
916550670008280
104411074034440
1114507a9328a47
125b2a8b929060
1325cc687b3378
141136d616517a
1579b1ebb9160
hex40308803b08

4411074034440 has 96 divisors (see below), whose sum is σ = 14669385793920. Its totient is φ = 1148930907264.

The previous prime is 4411074034427. The next prime is 4411074034469. The reversal of 4411074034440 is 444304701144.

4411074034440 is a `hidden beast` number, since 4 + 4 + 110 + 74 + 0 + 34 + 440 = 666.

It is a super-2 number, since 2×44110740344402 (a number of 26 digits) contains 22 as substring.

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 = 4411074034395 and 4411074034404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142461072 + ... + 142492031.

It is an arithmetic number, because the mean of its divisors is an integer number (152806102020).

Almost surely, 24411074034440 is an apocalyptic number.

4411074034440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411074034440 is an abundant number, since it is smaller than the sum of its proper divisors (10258311759480).

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

4411074034440 is a wasteful number, since it uses less digits than its factorization.

4411074034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284953163 (or 284953156 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 4411074034440 its reverse (444304701144), we get a palindrome (4855378735584).

The spelling of 4411074034440 in words is "four trillion, four hundred eleven billion, seventy-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 284953103 569906206 854859309 1139812412 1424765515 1709718618 2279624824 2564577927 2849531030 3419437236 4274296545 5129155854 5699062060 6838874472 8548593090 10258311708 11398124120 12252983429 12822889635 17097186180 20516623416 24505966858 25645779270 34194372360 36758950287 49011933716 51291558540 61264917145 73517900574 98023867432 102583117080 110276850861 122529834290 147035801148 183794751435 220553701722 245059668580 294071602296 367589502870 441107403444 490119337160 551384254305 735179005740 882214806888 1102768508610 1470358011480 2205537017220 4411074034440