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2040450042420 = 2232575115094319
BaseRepresentation
bin11101101100010100010…
…011001100101000110100
321020001202110201220121100
4131230110103030220310
5231412320202324140
64201211513450100
7300263153122626
oct35542423145064
97201673656540
102040450042420
11717393944409
1228b552710930
1311a54b929a0a
1470a88b2ac16
1538124260530
hex1db144cca34

2040450042420 has 72 divisors (see below), whose sum is σ = 6197607037440. Its totient is φ = 543395448000.

The previous prime is 2040450042347. The next prime is 2040450042427. The reversal of 2040450042420 is 242400540402.

2040450042420 is a `hidden beast` number, since 204 + 0 + 450 + 0 + 4 + 2 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×20404500424202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040450042427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7411980 + ... + 7682339.

It is an arithmetic number, because the mean of its divisors is an integer number (86077875520).

Almost surely, 22040450042420 is an apocalyptic number.

2040450042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040450042420 is an abundant number, since it is smaller than the sum of its proper divisors (4157156995020).

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

2040450042420 is a wasteful number, since it uses less digits than its factorization.

2040450042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15095085 (or 15095080 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 2040450042420 its reverse (242400540402), we get a palindrome (2282850582822).

The spelling of 2040450042420 in words is "two trillion, forty billion, four hundred fifty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 751 1502 2253 3004 3755 4506 6759 7510 9012 11265 13518 15020 22530 27036 33795 45060 67590 135180 15094319 30188638 45282957 60377276 75471595 90565914 135848871 150943190 181131828 226414785 271697742 301886380 452829570 543395484 679244355 905659140 1358488710 2716977420 11335833569 22671667138 34007500707 45343334276 56679167845 68015001414 102022502121 113358335690 136030002828 170037503535 204045004242 226716671380 340075007070 408090008484 510112510605 680150014140 1020225021210 2040450042420