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422043340224 = 26311451344279
BaseRepresentation
bin1100010010000111011…
…11100100110111000000
31111100100221000002002010
412021003233210313000
523403321043341344
6521514541252520
742330425126022
oct6110357446700
91440327002063
10422043340224
11152a95510150
1269965564140
1330a4c45631c
14165d99c6012
15aea1c388b9
hex6243be4dc0

422043340224 has 112 divisors (see below), whose sum is σ = 1218467992320. Its totient is φ = 127860695040.

The previous prime is 422043340219. The next prime is 422043340273.

422043340224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422043340191 and 422043340200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9509317 + ... + 9553595.

Almost surely, 2422043340224 is an apocalyptic number.

422043340224 is a gapful number since it is divisible by the number (44) 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 422043340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609233996160).

422043340224 is an abundant number, since it is smaller than the sum of its proper divisors (796424652096).

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

422043340224 is a wasteful number, since it uses less digits than its factorization.

422043340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48818 (or 48808 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 422043 and 340224, that added together give a palindrome (762267).

The spelling of 422043340224 in words is "four hundred twenty-two billion, forty-three million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4513 9026 13539 18052 27078 36104 44279 49643 54156 72208 88558 99286 108312 132837 144416 148929 177116 198572 216624 265674 288832 297858 354232 397144 433248 487069 531348 595716 708464 794288 866496 974138 1062696 1191432 1416928 1461207 1588576 1948276 2125392 2382864 2833856 2922414 3177152 3896552 4250784 4765728 5844828 7793104 8501568 9531456 11689656 15586208 23379312 31172416 46758624 93517248 199831127 399662254 599493381 799324508 1198986762 1598649016 2198142397 2397973524 3197298032 4396284794 4795947048 6394596064 6594427191 8792569588 9591894096 12789192128 13188854382 17585139176 19183788192 26377708764 35170278352 38367576384 52755417528 70340556704 105510835056 140681113408 211021670112 422043340224