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4424020244020 = 2251325212512249
BaseRepresentation
bin100000001100000110000…
…1001111011011000110100
3120122221011120120220012101
41000120030021323120310
51034440343140302040
613224211123231444
7634424226421066
oct100301411733064
916587146526171
104424020244020
111456242103903
125b54a3518584
1326124c9a0600
141141a36cb736
157a12b54309a
hex4060c27b634

4424020244020 has 72 divisors (see below), whose sum is σ = 10079378127000. Its totient is φ = 1630348462080.

The previous prime is 4424020243943. The next prime is 4424020244027. The reversal of 4424020244020 is 204420204244.

It can be written as a sum of positive squares in 12 ways, for example, as 2487124551844 + 1936895692176 = 1577062^2 + 1391724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4424020244020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424020244027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 504856 + ... + 3017104.

It is an arithmetic number, because the mean of its divisors is an integer number (139991362875).

Almost surely, 24424020244020 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 4424020244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039689063500).

4424020244020 is an abundant number, since it is smaller than the sum of its proper divisors (5655357882980).

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

4424020244020 is a wasteful number, since it uses less digits than its factorization.

4424020244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512805 (or 2512790 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4424020244020 its reverse (204420204244), we get a palindrome (4628440448264).

It can be divided in two parts, 4424020 and 244020, that added together give a triangular number (4668040 = T3055).

The spelling of 4424020244020 in words is "four trillion, four hundred twenty-four billion, twenty million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 521 676 845 1042 1690 2084 2605 3380 5210 6773 10420 13546 27092 33865 67730 88049 135460 176098 352196 440245 880490 1760980 2512249 5024498 10048996 12561245 25122490 32659237 50244980 65318474 130636948 163296185 326592370 424570081 653184740 849140162 1308881729 1698280324 2122850405 2617763458 4245700810 5235526916 6544408645 8491401620 13088817290 17015462477 26177634580 34030924954 68061849908 85077312385 170154624770 221201012201 340309249540 442402024402 884804048804 1106005061005 2212010122010 4424020244020