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2042444523540 = 2235673929129313
BaseRepresentation
bin11101101110001011001…
…011100010100000010100
321020020220110201001100110
4131232023023202200110
5231430411244223130
64202141442243020
7300363452000451
oct35561313424024
97206813631313
102042444523540
11718217761613
1228ba0a656470
1311a7a8bc1065
1470bd798a828
15381de3d2ab0
hex1db8b2e2814

2042444523540 has 96 divisors (see below), whose sum is σ = 5805722724480. Its totient is φ = 536382038016.

The previous prime is 2042444523521. The next prime is 2042444523571. The reversal of 2042444523540 is 453254442402.

It is a super-2 number, since 2×20424445235402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15729924 + ... + 15859236.

It is an arithmetic number, because the mean of its divisors is an integer number (60476278380).

Almost surely, 22042444523540 is an apocalyptic number.

2042444523540 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 2042444523540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902861362240).

2042444523540 is an abundant number, since it is smaller than the sum of its proper divisors (3763278200940).

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

2042444523540 is a wasteful number, since it uses less digits than its factorization.

2042444523540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133321 (or 133319 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 39.

Adding to 2042444523540 its reverse (453254442402), we get a palindrome (2495698965942).

The spelling of 2042444523540 in words is "two trillion, forty-two billion, four hundred forty-four million, five hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3929 4020 7858 11787 15716 19645 23574 39290 47148 58935 78580 117870 129313 235740 258626 263243 387939 517252 526486 646565 775878 789729 1052972 1293130 1316215 1551756 1579458 1939695 2586260 2632430 3158916 3879390 3948645 5264860 7758780 7897290 8663971 15794580 17327942 25991913 34655884 43319855 51983826 86639710 103967652 129959565 173279420 259919130 508070777 519838260 1016141554 1524212331 2032283108 2540353885 3048424662 5080707770 6096849324 7621061655 10161415540 15242123310 30484246620 34040742059 68081484118 102122226177 136162968236 170203710295 204244452354 340407420590 408488904708 510611130885 680814841180 1021222261770 2042444523540