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414402230150112 = 253171911329439451
BaseRepresentation
bin101111000111001011000100…
…1101110001110001111100000
32000100021110120221011210201110
41132032112021232032033200
5413304031231404300422
64025205431214103320
7153200400402215331
oct13616261156161740
92010243527153643
10414402230150112
1111004aaa9526446
123a589b184aab40
1314a2cc68b69a89
147449264124288
1532d98465ea60c
hex178e589b8e3e0

414402230150112 has 96 divisors (see below), whose sum is σ = 1157824772020224. Its totient is φ = 129327869696000.

The previous prime is 414402230150063. The next prime is 414402230150123. The reversal of 414402230150112 is 211051032204414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4144022301501122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414402230150112.

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, 664408014 + ... + 665031437.

It is an arithmetic number, because the mean of its divisors is an integer number (12060674708544).

Almost surely, 2414402230150112 is an apocalyptic number.

It is an amenable number.

414402230150112 is an abundant number, since it is smaller than the sum of its proper divisors (743422541870112).

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

414402230150112 is a wasteful number, since it uses less digits than its factorization.

414402230150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329439672 (or 1329439664 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 414402230150112 its reverse (211051032204414), we get a palindrome (625453262354526).

The spelling of 414402230150112 in words is "four hundred fourteen trillion, four hundred two billion, two hundred thirty million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 191 204 272 382 408 544 573 764 816 1146 1528 1632 2292 3056 3247 4584 6112 6494 9168 9741 12988 18336 19482 25976 38964 51952 77928 103904 155856 311712 1329439451 2658878902 3988318353 5317757804 7976636706 10635515608 15953273412 21271031216 22600470667 31906546824 42542062432 45200941334 63813093648 67801412001 90401882668 127626187296 135602824002 180803765336 253922935141 271205648004 361607530672 507845870282 542411296008 723215061344 761768805423 1015691740564 1084822592016 1523537610846 2031383481128 2169645184032 3047075221692 4062766962256 4316689897397 6094150443384 8125533924512 8633379794794 12188300886768 12950069692191 17266759589588 24376601773536 25900139384382 34533519179176 51800278768764 69067038358352 103600557537528 138134076716704 207201115075056 414402230150112