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404001143122122 = 232713713473844289
BaseRepresentation
bin101101111011011111101100…
…0100111111110100011001010
31221222110010120021221102211100
41123312333120213332203022
5410423123320114401442
63551123321334042230
7151045055642212140
oct13366773047764312
91858403507842740
10404001143122122
111077aaa17005897
123938a1654a9376
13144571b5114ac0
1471a9a8c70d590
1531a8ee463b84c
hex16f6fd89fe8ca

404001143122122 has 96 divisors (see below), whose sum is σ = 1092510133827840. Its totient is φ = 105049051269120.

The previous prime is 404001143122037. The next prime is 404001143122303. The reversal of 404001143122122 is 221221341100404.

404001143122122 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 1 + 1 + 431 + 221 + 2 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736805847 + ... + 1737038442.

It is an arithmetic number, because the mean of its divisors is an integer number (11380313894040).

Almost surely, 2404001143122122 is an apocalyptic number.

404001143122122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

404001143122122 is an abundant number, since it is smaller than the sum of its proper divisors (688508990705718).

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

404001143122122 is a wasteful number, since it uses less digits than its factorization.

404001143122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473844388 (or 3473844385 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 404001143122122 its reverse (221221341100404), we get a palindrome (625222484222526).

The spelling of 404001143122122 in words is "four hundred four trillion, one billion, one hundred forty-three million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 71 78 91 117 126 142 182 213 234 273 426 497 546 639 819 923 994 1278 1491 1638 1846 2769 2982 4473 5538 6461 8307 8946 12922 16614 19383 38766 58149 116298 3473844289 6947688578 10421532867 20843065734 24316910023 31264598601 45159975757 48633820046 62529197202 72950730069 90319951514 135479927271 145901460138 218852190207 246642944519 270959854542 316119830299 406439781813 437704380414 493285889038 632239660598 739928833557 812879563626 948359490897 1479857667114 1726500611633 1896718981794 2219786500671 2845078472691 3206358278747 3453001223266 4439573001342 5179501834899 5690156945382 6412716557494 9619074836241 10359003669798 15538505504697 19238149672482 22444507951229 28857224508723 31077011009394 44889015902458 57714449017446 67333523853687 134667047707374 202000571561061 404001143122122