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401643134046 = 232721141397973
BaseRepresentation
bin1011101100000111100…
…10111101110001011110
31102101201012102020011100
411312003302331301132
523040031120242141
6504302354133530
741006043211200
oct5660362756136
91371635366140
10401643134046
11145377095320
1265a115812a6
132bb4ab972cb
14156224c4770
15a6aacb80b6
hex5d83cbdc5e

401643134046 has 72 divisors (see below), whose sum is σ = 1104332354424. Its totient is φ = 104322889440.

The previous prime is 401643134033. The next prime is 401643134077. The reversal of 401643134046 is 640431346104.

401643134046 is a `hidden beast` number, since 4 + 0 + 1 + 643 + 1 + 3 + 4 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×4016431340462 (a number of 24 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 401643134046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20689285 + ... + 20708688.

It is an arithmetic number, because the mean of its divisors is an integer number (15337949367).

Almost surely, 2401643134046 is an apocalyptic number.

401643134046 is an abundant number, since it is smaller than the sum of its proper divisors (702689220378).

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

401643134046 is a wasteful number, since it uses less digits than its factorization.

401643134046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41398006 (or 41397996 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 401643134046 in words is "four hundred one billion, six hundred forty-three million, one hundred thirty-four thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 41397973 82795946 124193919 248387838 289785811 372581757 455377703 579571622 745163514 869357433 910755406 1366133109 1738714866 2028500677 2608072299 2732266218 3187643921 4057001354 4098399327 5216144598 6085502031 6375287842 8196798654 9562931763 12171004062 18256506093 19125863526 22313507447 28688795289 36513012186 44627014894 57377590578 66940522341 133881044682 200821567023 401643134046