Search a number
-
+
2988385840000 = 2754113395893
BaseRepresentation
bin101011011111001001101…
…011010010101110000000
3101120200112202011211002001
4223133021223102232000
5342430203233340000
610204502343433344
7425621662345231
oct53371153225600
911520482154061
102988385840000
11a52404999440
12403204455854
13188a5a5bc792
14a48d2635088
1552b04cdb46a
hex2b7c9ad2b80

2988385840000 has 160 divisors (see below), whose sum is σ = 8115711234840. Its totient is φ = 1086685440000.

The previous prime is 2988385839991. The next prime is 2988385840003. The reversal of 2988385840000 is 485838892.

It is a happy number.

2988385840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988385840003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 817947 + ... + 2577946.

Almost surely, 22988385840000 is an apocalyptic number.

2988385840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2988385840000 is an abundant number, since it is smaller than the sum of its proper divisors (5127325394840).

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

2988385840000 is an equidigital number, since it uses as much as digits as its factorization.

2988385840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395938 (or 3395911 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 2988385840000 in words is "two trillion, nine hundred eighty-eight billion, three hundred eighty-five million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 440000 880000 3395893 6791786 13583572 16979465 27167144 33958930 37354823 54334288 67917860 74709646 84897325 108668576 135835720 149419292 169794650 186774115 217337152 271671440 298838584 339589300 373548230 424486625 434674304 543342880 597677168 679178600 747096460 848973250 933870575 1086685760 1195354336 1358357200 1494192920 1697946500 1867741150 2122433125 2173371520 2390708672 2716714400 2988385840 3395893000 3735482300 4244866250 4669352875 4781417344 5433428800 5976771680 6791786000 7470964600 8489732500 9338705750 10866857600 11953543360 13583572000 14941929200 16979465000 18677411500 23346764375 23907086720 27167144000 29883858400 33958930000 37354823000 46693528750 54334288000 59767716800 67917860000 74709646000 93387057500 119535433600 135835720000 149419292000 186774115000 271671440000 298838584000 373548230000 597677168000 747096460000 1494192920000 2988385840000