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4422213341040 = 2435111675080811
BaseRepresentation
bin100000001011010000001…
…1101001000111101110000
3120122202111122120201021210
41000112200131020331300
51034423143103403130
613223311535120120
7634331366123265
oct100264035107560
916582448521253
104422213341040
1114554a5164960
125b507a373040
13261022534551
1411407173926c
157a072ac45b0
hex405a0748f70

4422213341040 has 80 divisors (see below), whose sum is σ = 14955121489536. Its totient is φ = 1072051718400.

The previous prime is 4422213341023. The next prime is 4422213341069. The reversal of 4422213341040 is 401433122244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4422213340989 and 4422213341007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 837537766 + ... + 837543045.

Almost surely, 24422213341040 is an apocalyptic number.

4422213341040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422213341040 is an abundant number, since it is smaller than the sum of its proper divisors (10532908148496).

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

4422213341040 is a wasteful number, since it uses less digits than its factorization.

4422213341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675080838 (or 1675080832 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4422213341040 its reverse (401433122244), we get a palindrome (4823646463284).

The spelling of 4422213341040 in words is "four trillion, four hundred twenty-two billion, two hundred thirteen million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1675080811 3350161622 5025242433 6700323244 8375404055 10050484866 13400646488 16750808110 18425888921 20100969732 25126212165 26801292976 33501616220 36851777842 40201939464 50252424330 55277666763 67003232440 73703555684 80403878928 92129444605 100504848660 110555333526 134006464880 147407111368 184258889210 201009697320 221110667052 276388333815 294814222736 368517778420 402019394640 442221334104 552776667630 737035556840 884442668208 1105553335260 1474071113680 2211106670520 4422213341040