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20422024141200 = 24352111547123041
BaseRepresentation
bin1001010010010110111110…
…11111101001100110010000
32200022022210222100011121220
410221023133133221212100
510134043301140004300
6111233425352045040
74205304540026043
oct451133737514620
980268728304556
1020422024141200
116563a28254720
122359b12693780
13b51a33777396
14508607486c5a
1525635507ada0
hex1292df7e9990

20422024141200 has 120 divisors (see below), whose sum is σ = 71365691681376. Its totient is φ = 4950793728000.

The previous prime is 20422024141171. The next prime is 20422024141243. The reversal of 20422024141200 is 214142022402.

It is a happy number.

20422024141200 is digitally balanced in base 6, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773548321 + ... + 773574720.

Almost surely, 220422024141200 is an apocalyptic number.

20422024141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20422024141200 is an abundant number, since it is smaller than the sum of its proper divisors (50943667540176).

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

20422024141200 is a wasteful number, since it uses less digits than its factorization.

20422024141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547123073 (or 1547123062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20422024141200 its reverse (214142022402), we get a palindrome (20636166163602).

The spelling of 20422024141200 in words is "twenty trillion, four hundred twenty-two billion, twenty-four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 1547123041 3094246082 4641369123 6188492164 7735615205 9282738246 12376984328 15471230410 17018353451 18565476492 23206845615 24753968656 30942460820 34036706902 37130952984 38678076025 46413691230 51055060353 61884921640 68073413804 74261905968 77356152050 85091767255 92827382460 102110120706 116034228075 123769843280 136146827608 154712304100 170183534510 185654764920 204220241412 232068456150 255275301765 272293655216 309424608200 340367069020 371309529840 408440482824 425458836275 464136912300 510550603530 618849216400 680734138040 816880965648 850917672550 928273824600 1021101207060 1276376508825 1361468276080 1701835345100 1856547649200 2042202414120 2552753017650 3403670690200 4084404828240 5105506035300 6807341380400 10211012070600 20422024141200