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4431283470048 = 253197219336533
BaseRepresentation
bin100000001111011110100…
…0100111011111011100000
3120200121220202122000012210
41000132331010323323200
51040100232032020143
613231411543322120
7635102223006141
oct100367504737340
916617822560183
104431283470048
111459329aa5046
125b698ba50340
13261b39699ca6
141146921a7ac8
157a404005033
hex407bd13bee0

4431283470048 has 96 divisors (see below), whose sum is σ = 12246068419200. Its totient is φ = 1399154674176.

The previous prime is 4431283469989. The next prime is 4431283470073. The reversal of 4431283470048 is 8400743821344.

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

It is a super-4 number, since 4×44312834700484 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4431283469979 and 4431283470006.

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, 12999190 + ... + 13335722.

It is an arithmetic number, because the mean of its divisors is an integer number (127563212700).

Almost surely, 24431283470048 is an apocalyptic number.

4431283470048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4431283470048 is an abundant number, since it is smaller than the sum of its proper divisors (7814784949152).

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

4431283470048 is a wasteful number, since it uses less digits than its factorization.

4431283470048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343784 (or 343776 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 4431283470048 in words is "four trillion, four hundred thirty-one billion, two hundred eighty-three million, four hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7219 14438 21657 28876 43314 57752 86628 115504 137161 173256 231008 274322 336533 346512 411483 548644 673066 693024 822966 1009599 1097288 1346132 1645932 2019198 2194576 2692264 3291864 4038396 4389152 5384528 6394127 6583728 8076792 10769056 12788254 13167456 16153584 19182381 25576508 32307168 38364762 51153016 76729524 102306032 153459048 204612064 306918096 613836192 2429431727 4858863454 7288295181 9717726908 14576590362 19435453816 29153180724 38870907632 46159202813 58306361448 77741815264 92318405626 116612722896 138477608439 184636811252 233225445792 276955216878 369273622504 553910433756 738547245008 1107820867512 1477094490016 2215641735024 4431283470048