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42121320000 = 26354351011
BaseRepresentation
bin100111001110101000…
…000101011001000000
311000201111200202110220
4213032220011121000
51142231024220000
631203354023040
73020543212134
oct471650053100
9130644622426
1042121320000
1116955429171
1281b6417a80
133c836c65b6
1420782073c4
151167d611a0
hex9cea05640

42121320000 has 140 divisors (see below), whose sum is σ = 139263308976. Its totient is φ = 11232320000.

The previous prime is 42121319971. The next prime is 42121320041. The reversal of 42121320000 is 2312124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55506 + ... + 295505.

Almost surely, 242121320000 is an apocalyptic number.

42121320000 is a gapful number since it is divisible by the number (40) 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 42121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69631654488).

42121320000 is an abundant number, since it is smaller than the sum of its proper divisors (97141988976).

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

42121320000 is an equidigital number, since it uses as much as digits as its factorization.

42121320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351046 (or 351021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42121320000 its reverse (2312124), we get a palindrome (42123632124).

The spelling of 42121320000 in words is "forty-two billion, one hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 351011 702022 1053033 1404044 1755055 2106066 2808088 3510110 4212132 5265165 5616176 7020220 8424264 8775275 10530330 11232352 14040440 16848528 17550550 21060660 22464704 26325825 28080880 33697056 35101100 42121320 43876375 52651650 56161760 67394112 70202200 84242640 87752750 105303300 112323520 131629125 140404400 168485280 175505500 210606600 219381875 263258250 280808800 336970560 351011000 421213200 438763750 526516500 561617600 658145625 702022000 842426400 877527500 1053033000 1316291250 1404044000 1684852800 1755055000 2106066000 2632582500 2808088000 3510110000 4212132000 5265165000 7020220000 8424264000 10530330000 14040440000 21060660000 42121320000