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2042004433420 = 2257293499143743
BaseRepresentation
bin11101101101110000111…
…100101110101000001100
321020012202210121011012101
4131231300330232220030
5231424011113332140
64202030041444444
7300346526204050
oct35556074565014
97205683534171
102042004433420
117180112a4376
1228b9071a0724
1311a738983bc3
1470b9534bc60
15381b595099a
hex1db70f2ea0c

2042004433420 has 96 divisors (see below), whose sum is σ = 5071288320000. Its totient is φ = 675775989504.

The previous prime is 2042004433369. The next prime is 2042004433423. The reversal of 2042004433420 is 243344002402.

It is a happy number.

It is a super-2 number, since 2×20420044334202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2042004433423) 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, 14134069 + ... + 14277811.

It is an arithmetic number, because the mean of its divisors is an integer number (52825920000).

Almost surely, 22042004433420 is an apocalyptic number.

2042004433420 is a gapful number since it is divisible by the number (20) 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 2042004433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535644160000).

2042004433420 is an abundant number, since it is smaller than the sum of its proper divisors (3029283886580).

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

2042004433420 is a wasteful number, since it uses less digits than its factorization.

2042004433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147287 (or 147285 counting only the distinct ones).

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

Adding to 2042004433420 its reverse (243344002402), we get a palindrome (2285348435822).

The spelling of 2042004433420 in words is "two trillion, forty-two billion, four million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3499 4060 6998 13996 17495 24493 34990 48986 69980 97972 101471 122465 143743 202942 244930 287486 405884 489860 507355 574972 710297 718715 1006201 1014710 1420594 1437430 2012402 2029420 2841188 2874860 3551485 4024804 4168547 5031005 7102970 8337094 10062010 14205940 16674188 20124020 20842735 29179829 41685470 58359658 83370940 116719316 145899145 291798290 502956757 583596580 1005913514 2011827028 2514783785 3520697299 5029567570 7041394598 10059135140 14082789196 14585745953 17603486495 29171491906 35206972990 58342983812 70413945980 72928729765 102100221671 145857459530 204200443342 291714919060 408400886684 510501108355 1021002216710 2042004433420