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2444001341424 = 24323107199103967
BaseRepresentation
bin100011100100001001110…
…101001110111111110000
322122122101122200221222220
4203210021311032333300
5310020303320411144
65110431514401040
7341400426431226
oct43441165167760
98578348627886
102444001341424
1186254a051265
123357b7130180
13149611c260c6
148640c802b16
15438927ea919
hex23909d4eff0

2444001341424 has 160 divisors (see below), whose sum is σ = 6683229388800. Its totient is φ = 768077519616.

The previous prime is 2444001341423. The next prime is 2444001341429. The reversal of 2444001341424 is 4241431004442.

It is a super-2 number, since 2×24440013414242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444001341423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23455489 + ... + 23559455.

It is an arithmetic number, because the mean of its divisors is an integer number (41770183680).

Almost surely, 22444001341424 is an apocalyptic number.

2444001341424 is a gapful number since it is divisible by the number (24) 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 2444001341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341614694400).

2444001341424 is an abundant number, since it is smaller than the sum of its proper divisors (4239228047376).

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

2444001341424 is a wasteful number, since it uses less digits than its factorization.

2444001341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104307 (or 104301 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2444001341424 its reverse (4241431004442), we get a palindrome (6685432345866).

The spelling of 2444001341424 in words is "two trillion, four hundred forty-four billion, one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 107 138 184 199 214 276 321 368 398 428 552 597 642 796 856 1104 1194 1284 1592 1712 2388 2461 2568 3184 4577 4776 4922 5136 7383 9154 9552 9844 13731 14766 18308 19688 21293 27462 29532 36616 39376 42586 54924 59064 63879 73232 85172 103967 109848 118128 127758 170344 207934 219696 255516 311901 340688 415868 489739 511032 623802 831736 979478 1022064 1247604 1469217 1663472 1958956 2391241 2495208 2938434 3917912 4782482 4990416 5876868 7173723 7835824 9564964 11124469 11753736 14347446 19129928 20689433 22248938 23507472 28694892 33373407 38259856 41378866 44497876 57389784 62068299 66746814 82757732 88995752 114779568 124136598 133493628 165515464 177991504 248273196 255862787 266987256 331030928 475856959 496546392 511725574 533974512 767588361 951713918 993092784 1023451148 1427570877 1535176722 1903427836 2046902296 2213769331 2855141754 3070353444 3806855672 4093804592 4427538662 5710283508 6140706888 6641307993 7613711344 8855077324 11420567016 12281413776 13282615986 17710154648 22841134032 26565231972 35420309296 50916694613 53130463944 101833389226 106260927888 152750083839 203666778452 305500167678 407333556904 611000335356 814667113808 1222000670712 2444001341424