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4440231022020 = 22351932211209233
BaseRepresentation
bin100000010011101001001…
…1001001000110111000100
3120201111000100000202001120
41000213102121020313010
51040222043120201040
613235451452353540
7635540030645403
oct100472231106704
916644010022046
104440231022020
1114621007232a2
125b86684758b0
13262934315841
14114ca064963a
157a7797c17d0
hex409d2648dc4

4440231022020 has 96 divisors (see below), whose sum is σ = 13091070545280. Its totient is φ = 1121393387520.

The previous prime is 4440231021991. The next prime is 4440231022061. The reversal of 4440231022020 is 202201320444.

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 31 ways as a sum of consecutive naturals, for example, 3067324 + ... + 4276556.

It is an arithmetic number, because the mean of its divisors is an integer number (136365318180).

Almost surely, 24440231022020 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 4440231022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545535272640).

4440231022020 is an abundant number, since it is smaller than the sum of its proper divisors (8650839523260).

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

4440231022020 is a wasteful number, since it uses less digits than its factorization.

4440231022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212485 (or 1212483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4440231022020 its reverse (202201320444), we get a palindrome (4642432342464).

The spelling of 4440231022020 in words is "four trillion, four hundred forty billion, two hundred thirty-one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3221 6442 9663 12884 16105 19326 32210 38652 48315 61199 64420 96630 122398 183597 193260 244796 305995 367194 611990 734388 917985 1209233 1223980 1835970 2418466 3627699 3671940 4836932 6046165 7255398 12092330 14510796 18138495 22975427 24184660 36276990 45950854 68926281 72553980 91901708 114877135 137852562 229754270 275705124 344631405 459508540 689262810 1378525620 3894939493 7789878986 11684818479 15579757972 19474697465 23369636958 38949394930 46739273916 58424092395 74003850367 77898789860 116848184790 148007700734 222011551101 233696369580 296015401468 370019251835 444023102202 740038503670 888046204404 1110057755505 1480077007340 2220115511010 4440231022020