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400214334224031 = 3376758111609421
BaseRepresentation
bin101101011111111100010100…
…1001110011011011010011111
31221111001010011001220211101120
41122333320221032123122133
5404424102424030132111
63535103532121142023
7150204350201525055
oct13277705116333237
91844033131824346
10400214334224031
1110657aa45115538
1238a7827692a913
131424108549a3a2
1470b86973641d5
15314075ec05406
hex16bfe2939b69f

400214334224031 has 16 divisors (see below), whose sum is σ = 533770829611008. Its totient is φ = 266733700178400.

The previous prime is 400214334224027. The next prime is 400214334224053. The reversal of 400214334224031 is 130422433412004.

It is not a de Polignac number, because 400214334224031 - 22 = 400214334224027 is a prime.

It is a super-2 number, since 2×4002143342240312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400214334223983 and 400214334224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400214334223031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656407701 + ... + 657017121.

It is an arithmetic number, because the mean of its divisors is an integer number (33360676850688).

Almost surely, 2400214334224031 is an apocalyptic number.

400214334224031 is a deficient number, since it is larger than the sum of its proper divisors (133556495386977).

400214334224031 is a wasteful number, since it uses less digits than its factorization.

400214334224031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671302.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 400214334224031 its reverse (130422433412004), we get a palindrome (530636767636035).

The spelling of 400214334224031 in words is "four hundred trillion, two hundred fourteen billion, three hundred thirty-four million, two hundred twenty-four thousand, thirty-one".

Divisors: 1 3 3767 11301 58111 174333 609421 1828263 218904137 656712411 2295688907 6887066721 35414063731 106242191193 133404778074677 400214334224031