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401413400223 = 311291987211097
BaseRepresentation
bin1011101011101100001…
…10100110011010011111
31102101010012010112121020
411311312012212122133
523034043312301343
6504223510135223
741000253414243
oct5656606463237
91371105115536
10401413400223
11145269443960
1265968651513
132bb123cc234
14155ddba2423
15a695a38b83
hex5d761a669f

401413400223 has 32 divisors (see below), whose sum is σ = 604314466560. Its totient is φ = 234772527360.

The previous prime is 401413400153. The next prime is 401413400237. The reversal of 401413400223 is 322004314104.

It is not a de Polignac number, because 401413400223 - 213 = 401413392031 is a prime.

It is a super-2 number, since 2×4014134002232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401413400193 and 401413400202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401413400243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1796011 + ... + 2007107.

It is an arithmetic number, because the mean of its divisors is an integer number (18884827080).

Almost surely, 2401413400223 is an apocalyptic number.

401413400223 is a deficient number, since it is larger than the sum of its proper divisors (202901066337).

401413400223 is a wasteful number, since it uses less digits than its factorization.

401413400223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213127.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 401413400223 its reverse (322004314104), we get a palindrome (723417714327).

The spelling of 401413400223 in words is "four hundred one billion, four hundred thirteen million, four hundred thousand, two hundred twenty-three".

Divisors: 1 3 11 29 33 87 319 957 1987 5961 21857 57623 65571 172869 211097 633291 633853 1901559 2322067 6121813 6966201 18365439 67339943 202019829 419449739 1258349217 4613947129 12164042431 13841841387 36492127293 133804466741 401413400223