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138838020000 = 253542313967
BaseRepresentation
bin1000000101001101100…
…1000000111110100000
3111021100212020011211220
42001103121000332200
54233320013120000
6143440432335040
713013351461341
oct2012331007640
9437325204756
10138838020000
1153976496399
1222aa86a4480
1310127c20074
146a111980c8
153928be61a0
hex2053640fa0

138838020000 has 120 divisors (see below), whose sum is σ = 455416670016. Its totient is φ = 37023456000.

The previous prime is 138838019993. The next prime is 138838020049. The reversal of 138838020000 is 20838831.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1096984 + ... + 1216983.

Almost surely, 2138838020000 is an apocalyptic number.

138838020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138838020000 is an abundant number, since it is smaller than the sum of its proper divisors (316578650016).

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

138838020000 is an equidigital number, since it uses as much as digits as its factorization.

138838020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314000 (or 2313977 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 138838020000 its reverse (20838831), we get a palindrome (138858858831).

The spelling of 138838020000 in words is "one hundred thirty-eight billion, eight hundred thirty-eight million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 2313967 4627934 6941901 9255868 11569835 13883802 18511736 23139670 27767604 34709505 37023472 46279340 55535208 57849175 69419010 74046944 92558680 111070416 115698350 138838020 173547525 185117360 222140832 231396700 277676040 289245875 347095050 370234720 462793400 555352080 578491750 694190100 867737625 925586800 1110704160 1156983500 1388380200 1446229375 1735475250 1851173600 2313967000 2776760400 2892458750 3470950500 4338688125 4627934000 5553520800 5784917500 6941901000 8677376250 9255868000 11569835000 13883802000 17354752500 23139670000 27767604000 34709505000 46279340000 69419010000 138838020000