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4402424462240 = 255728791365313
BaseRepresentation
bin100000000010000010011…
…1100100011101110100000
3120120212102112022111212202
41000010010330203232200
51034112131130242430
613210240150512332
7633031116333140
oct100040474435640
916525375274782
104402424462240
11144806a924372
125b12770656a8
1325c1ba808bcc
141131154cc920
15797b565cd45
hex40104f23ba0

4402424462240 has 96 divisors (see below), whose sum is σ = 11890683463680. Its totient is φ = 1508877287424.

The previous prime is 4402424462231. The next prime is 4402424462269. The reversal of 4402424462240 is 422644242044.

It is a super-2 number, since 2×44024244622402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4402424462194 and 4402424462203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541824 + ... + 3907136.

It is an arithmetic number, because the mean of its divisors is an integer number (123861286080).

Almost surely, 24402424462240 is an apocalyptic number.

4402424462240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402424462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945341731840).

4402424462240 is an abundant number, since it is smaller than the sum of its proper divisors (7488259001440).

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

4402424462240 is a wasteful number, since it uses less digits than its factorization.

4402424462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368214 (or 1368206 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

The spelling of 4402424462240 in words is "four trillion, four hundred two billion, four hundred twenty-four million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2879 5758 11516 14395 20153 23032 28790 40306 46064 57580 80612 92128 100765 115160 161224 201530 230320 322448 403060 460640 644896 806120 1365313 1612240 2730626 3224480 5461252 6826565 9557191 10922504 13653130 19114382 21845008 27306260 38228764 43690016 47785955 54612520 76457528 95571910 109225040 152915056 191143820 218450080 305830112 382287640 764575280 1529150560 3930736127 7861472254 15722944508 19653680635 27515152889 31445889016 39307361270 55030305778 62891778032 78614722540 110060611556 125783556064 137575764445 157229445080 220121223112 275151528890 314458890160 440242446224 550303057780 628917780320 880484892448 1100606115560 2201212231120 4402424462240