Search a number
-
+
20121442040 = 2357142750359
BaseRepresentation
bin10010101111010101…
…001101011011111000
31220221022001011102002
4102233111031123320
5312202042121130
613124344200132
71311425302220
oct225725153370
956838034362
1020121442040
118596036247
123a96769048
131b888b802b
14d8c499080
157cb758b45
hex4af54d6f8

20121442040 has 64 divisors (see below), whose sum is σ = 51778137600. Its totient is φ = 6893808768.

The previous prime is 20121442037. The next prime is 20121442043. The reversal of 20121442040 is 4024412102.

It is an interprime number because it is at equal distance from previous prime (20121442037) and next prime (20121442043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121442043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374381 + ... + 424739.

It is an arithmetic number, because the mean of its divisors is an integer number (809033400).

Almost surely, 220121442040 is an apocalyptic number.

20121442040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121442040 is an abundant number, since it is smaller than the sum of its proper divisors (31656695560).

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

20121442040 is a wasteful number, since it uses less digits than its factorization.

20121442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51804 (or 51800 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20121442040 its reverse (4024412102), we get a palindrome (24145854142).

The spelling of 20121442040 in words is "twenty billion, one hundred twenty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1427 2854 5708 7135 9989 11416 14270 19978 28540 39956 49945 50359 57080 79912 99890 100718 199780 201436 251795 352513 399560 402872 503590 705026 1007180 1410052 1762565 2014360 2820104 3525130 7050260 14100520 71862293 143724586 287449172 359311465 503036051 574898344 718622930 1006072102 1437245860 2012144204 2515180255 2874491720 4024288408 5030360510 10060721020 20121442040