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4044400122 = 23737189311
BaseRepresentation
bin1111000100010000…
…1010010111111010
3101102212020210222010
43301010022113322
531240331300442
61505153310350
7202136556000
oct36104122772
911385223863
104044400122
111795a5a744
1294a5653b6
134c5b98c89
142a51d0a70
1518a0e5b9c
hexf110a5fa

4044400122 has 128 divisors (see below), whose sum is σ = 9704448000. Its totient is φ = 1122844800.

The previous prime is 4044400057. The next prime is 4044400133. The reversal of 4044400122 is 2210044404.

4044400122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40444001222 = 32714344693667229768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13004347 + ... + 13004657.

It is an arithmetic number, because the mean of its divisors is an integer number (75816000).

Almost surely, 24044400122 is an apocalyptic number.

4044400122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044400122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852224000).

4044400122 is an abundant number, since it is smaller than the sum of its proper divisors (5660047878).

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

4044400122 is a wasteful number, since it uses less digits than its factorization.

4044400122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4044400122 is about 63595.5982910767. The cubic root of 4044400122 is about 1593.2528533877.

Adding to 4044400122 its reverse (2210044404), we get a palindrome (6254444526).

The spelling of 4044400122 in words is "four billion, forty-four million, four hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 71 89 98 142 147 178 213 267 294 311 343 426 497 534 622 623 686 933 994 1029 1246 1491 1866 1869 2058 2177 2982 3479 3738 4354 4361 6319 6531 6958 8722 10437 12638 13062 13083 15239 18957 20874 22081 24353 26166 27679 30478 30527 37914 44162 44233 45717 48706 55358 61054 66243 73059 83037 88466 91434 91581 106673 132486 132699 146118 154567 166074 183162 193753 213346 265398 309134 309631 320019 387506 463701 581259 619262 640038 927402 928893 1081969 1162518 1356271 1857786 1965209 2163938 2167417 2712542 3245907 3930418 4068813 4334834 5895627 6491814 6502251 7573783 8137626 9493897 11791254 13004502 13756463 15147566 18987794 22721349 27512926 28481691 41269389 45442698 56963382 82538778 96295241 192590482 288885723 577771446 674066687 1348133374 2022200061 4044400122