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400213433141221 = 73180914231602059
BaseRepresentation
bin101101011111111011111001…
…1100001000100011111100101
31221111001000211021101002011011
41122333313303201010133211
5404424044102341004341
63535103302451542221
7150204315650456350
oct13277676341043745
91844030737332134
10400213433141221
1110657a6225136a7
1238a78064bba971
1314240c708b4bab
1470b860d805297
15314070aa62b81
hex16bfdf38447e5

400213433141221 has 32 divisors (see below), whose sum is σ = 473057302118400. Its totient is φ = 331330714669440.

The previous prime is 400213433141209. The next prime is 400213433141251. The reversal of 400213433141221 is 122141334312004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 400213433141221 - 239 = 399663677327333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400213433141251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249010890 + ... + 250612948.

It is an arithmetic number, because the mean of its divisors is an integer number (14783040691200).

Almost surely, 2400213433141221 is an apocalyptic number.

It is an amenable number.

400213433141221 is a deficient number, since it is larger than the sum of its proper divisors (72843868977179).

400213433141221 is a wasteful number, since it uses less digits than its factorization.

400213433141221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604329.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 400213433141221 its reverse (122141334312004), we get a palindrome (522354767453225).

The spelling of 400213433141221 in words is "four hundred trillion, two hundred thirteen billion, four hundred thirty-three million, one hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 7 31 217 809 1423 5663 9961 25079 44113 175553 308791 1151207 1602059 8058449 11214413 35687417 49663829 249811919 347646803 1296065731 2279729957 9072460117 15958109699 40178037661 70671628667 281246263627 494701400669 1844301535213 12910110746491 57173347591603 400213433141221