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4434242023000 = 235337711687949
BaseRepresentation
bin100000010000110110101…
…1010111010111001011000
3120200220112221200001220001
41000201231122322321120
51040122311424214000
613233021311342344
7635235436206016
oct100415532727130
916626487601801
104434242023000
11145a608026729
125b74768219b4
132621bb5cc13a
141148930a18b6
157a528b0d46a
hex4086d6bae58

4434242023000 has 128 divisors (see below), whose sum is σ = 10806661008000. Its totient is φ = 1701451584000.

The previous prime is 4434242022997. The next prime is 4434242023007. The reversal of 4434242023000 is 3202424344.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4434242023000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434242023007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783026 + ... + 3470974.

It is an arithmetic number, because the mean of its divisors is an integer number (84427039125).

Almost surely, 24434242023000 is an apocalyptic number.

4434242023000 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 4434242023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403330504000).

4434242023000 is an abundant number, since it is smaller than the sum of its proper divisors (6372418985000).

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

4434242023000 is a wasteful number, since it uses less digits than its factorization.

4434242023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688078 (or 1688064 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4434242023000 its reverse (3202424344), we get a palindrome (4437444447344).

The spelling of 4434242023000 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 71 74 100 125 142 148 185 200 250 284 296 355 370 500 568 710 740 925 1000 1420 1480 1775 1850 2627 2840 3550 3700 4625 5254 7100 7400 8875 9250 10508 13135 14200 17750 18500 21016 26270 35500 37000 52540 65675 71000 105080 131350 262700 328375 525400 656750 1313500 1687949 2627000 3375898 6751796 8439745 13503592 16879490 33758980 42198725 62454113 67517960 84397450 119844379 124908226 168794900 210993625 239688758 249816452 312270565 337589800 421987250 479377516 499632904 599221895 624541130 843974500 958755032 1198443790 1249082260 1561352825 1687949000 2396887580 2498164520 2996109475 3122705650 4434242023 4793775160 5992218950 6245411300 7806764125 8868484046 11984437900 12490822600 14980547375 15613528250 17736968092 22171210115 23968875800 29961094750 31227056500 35473936184 44342420230 59922189500 62454113000 88684840460 110856050575 119844379000 177369680920 221712101150 443424202300 554280252875 886848404600 1108560505750 2217121011500 4434242023000