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4402202424420 = 2235314073581089
BaseRepresentation
bin100000000001111011110…
…1101100011010001100100
3120120211212001111211020210
41000003313231203101210
51034111202310040140
613210202135455420
7633022452131433
oct100036755432144
916524761454223
104402202424420
111447a6655a039
125b1214827570
1325c183806a98
141130d3c1111a
15797a0dedd80
hex400f7b63464

4402202424420 has 96 divisors (see below), whose sum is σ = 12726930908160. Its totient is φ = 1135771361280.

The previous prime is 4402202424401. The next prime is 4402202424439. The reversal of 4402202424420 is 244242022044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4402202424401) and next prime (4402202424439).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7285236 + ... + 7866324.

It is an arithmetic number, because the mean of its divisors is an integer number (132572196960).

Almost surely, 24402202424420 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 4402202424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363465454080).

4402202424420 is an abundant number, since it is smaller than the sum of its proper divisors (8324728483740).

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

4402202424420 is a wasteful number, since it uses less digits than its factorization.

4402202424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585205 (or 585203 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4402202424420 its reverse (244242022044), we get a palindrome (4646444446464).

The spelling of 4402202424420 in words is "four trillion, four hundred two billion, two hundred two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 4073 8146 12219 16292 20365 24438 40730 48876 61095 81460 122190 126263 244380 252526 378789 505052 581089 631315 757578 1162178 1262630 1515156 1743267 1893945 2324356 2525260 2905445 3486534 3787890 5810890 6973068 7575780 8716335 11621780 17432670 18013759 34865340 36027518 54041277 72055036 90068795 108082554 180137590 216165108 270206385 360275180 540412770 1080825540 2366775497 4733550994 7100326491 9467101988 11833877485 14200652982 23667754970 28401305964 35501632455 47335509940 71003264910 73370040407 142006529820 146740080814 220110121221 293480161628 366850202035 440220242442 733700404070 880440484884 1100550606105 1467400808140 2201101212210 4402202424420