Search a number
-
+
42361421824 = 22071569
BaseRepresentation
bin100111011100111100…
…000000000000000000
311001100020111012021001
4213130330000000000
51143224010444244
631243252141344
73026520100351
oct473474000000
9131306435231
1042361421824
1116a68a11227
128262907854
133cc1381897
14209c067d28
15117de8c5d4
hex9dcf00000

42361421824 has 84 divisors (see below), whose sum is σ = 86067077040. Its totient is φ = 20845690880.

The previous prime is 42361421819. The next prime is 42361421867. The reversal of 42361421824 is 42812416324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74448612 + ... + 74449180.

It is an arithmetic number, because the mean of its divisors is an integer number (1024608060).

Almost surely, 242361421824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42361421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43033538520).

42361421824 is an abundant number, since it is smaller than the sum of its proper divisors (43705655216).

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

42361421824 is an frugal number, since it uses more digits than its factorization.

42361421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 642 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The spelling of 42361421824 in words is "forty-two billion, three hundred sixty-one million, four hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 569 1024 1136 1138 2048 2272 2276 4096 4544 4552 8192 9088 9104 16384 18176 18208 32768 36352 36416 40399 65536 72704 72832 80798 131072 145408 145664 161596 262144 290816 291328 323192 524288 581632 582656 646384 1048576 1163264 1165312 1292768 2326528 2330624 2585536 4653056 4661248 5171072 9306112 9322496 10342144 18612224 18644992 20684288 37224448 37289984 41368576 74448896 74579968 82737152 149159936 165474304 298319872 330948608 596639744 661897216 1323794432 2647588864 5295177728 10590355456 21180710912 42361421824