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2042442130320 = 2432511032571827
BaseRepresentation
bin11101101110001011000…
…010011010001110010000
321020020220022012110110200
4131232023002122032100
5231430410141132240
64202141315055200
7300363422442234
oct35561302321620
97206808173420
102042442130320
11718216377549
1228ba098a1500
1311a7a8563957
1470bd75265c4
15381de0ad930
hex1db8b09a390

2042442130320 has 120 divisors (see below), whose sum is σ = 6865422834816. Its totient is φ = 544157232384.

The previous prime is 2042442130277. The next prime is 2042442130343. The reversal of 2042442130320 is 230312442402.

2042442130320 is a `hidden beast` number, since 2 + 0 + 424 + 4 + 213 + 0 + 3 + 20 = 666.

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

It is an unprimeable number.

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, 491754 + ... + 2080073.

Almost surely, 22042442130320 is an apocalyptic number.

2042442130320 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 2042442130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432711417408).

2042442130320 is an abundant number, since it is smaller than the sum of its proper divisors (4822980704496).

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

2042442130320 is a wasteful number, since it uses less digits than its factorization.

2042442130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572949 (or 2572940 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042442130320 its reverse (230312442402), we get a palindrome (2272754572722).

The spelling of 2042442130320 in words is "two trillion, forty-two billion, four hundred forty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1103 2206 3309 4412 5515 6618 8824 9927 11030 13236 16545 17648 19854 22060 26472 33090 39708 44120 49635 52944 66180 79416 88240 99270 132360 158832 198540 264720 397080 794160 2571827 5143654 7715481 10287308 12859135 15430962 20574616 23146443 25718270 30861924 38577405 41149232 46292886 51436540 61723848 77154810 92585772 102873080 115732215 123447696 154309620 185171544 205746160 231464430 308619240 370343088 462928860 617238480 925857720 1851715440 2836725181 5673450362 8510175543 11346900724 14183625905 17020351086 22693801448 25530526629 28367251810 34040702172 42550877715 45387602896 51061053258 56734503620 68081404344 85101755430 102122106516 113469007240 127652633145 136162808688 170203510860 204244213032 226938014480 255305266290 340407021720 408488426064 510610532580 680814043440 1021221065160 2042442130320