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400413316323238 = 216340963120812287
BaseRepresentation
bin101101100001011000111110…
…1011110111001011110100110
31221111202010202110211210111121
41123002301331132321132212
5404440332432434320423
63535335201010124154
7150224623152464221
oct13302617536713646
91844663673753447
10400413316323238
11106647374346809
1238aaa94958065a
1314256a769525aa
1470c41721985b8
153145a08b0e45d
hex16c2c7d7b97a6

400413316323238 has 64 divisors (see below), whose sum is σ = 607299303536640. Its totient is φ = 197995485542400.

The previous prime is 400413316323221. The next prime is 400413316323239. The reversal of 400413316323238 is 832323613314004.

It is a junction number, because it is equal to n+sod(n) for n = 400413316323194 and 400413316323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400413316323239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175082340931 + ... + 175082343217.

It is an arithmetic number, because the mean of its divisors is an integer number (9489051617760).

Almost surely, 2400413316323238 is an apocalyptic number.

400413316323238 is a deficient number, since it is larger than the sum of its proper divisors (206885987213402).

400413316323238 is a wasteful number, since it uses less digits than its factorization.

400413316323238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 400413316323238 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, three hundred twenty-three thousand, two hundred thirty-eight".

Divisors: 1 2 163 326 409 631 818 1262 2081 2287 4162 4574 66667 102853 133334 205706 258079 339203 372781 516158 678406 745562 851129 935383 1313111 1443097 1702258 1870766 2626222 2886194 4759247 9518494 42066877 84133754 138734027 152467429 214037093 235224811 277468054 304934858 428074186 470449622 537062399 590226673 775757261 1074124798 1180453346 1551514522 1946532023 3003084857 3893064046 6006169714 87541171037 96206947699 175082342074 192413895398 317284719749 489502831691 634569439498 979005663382 1228261706513 2456523413026 200206658161619 400413316323238