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400350053005 = 5725343377109
BaseRepresentation
bin1011101001101101011…
…10010000001010001101
31102021101002020220102221
411310312232100022031
523024404103144010
6503530203015341
740632022205500
oct5646656201215
91367332226387
10400350053005
11144873193401
126571050a551
132b9a30126b6
141553c885137
15a6324e2dda
hex5d36b9028d

400350053005 has 48 divisors (see below), whose sum is σ = 569611848240. Its totient is φ = 269246035968.

The previous prime is 400350052997. The next prime is 400350053029. The reversal of 400350053005 is 500350053004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 90049806889 + 310300246116 = 300083^2 + 557046^2 .

It is not a de Polignac number, because 400350053005 - 23 = 400350052997 is a prime.

It is a super-2 number, since 2×4003500530052 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56312391 + ... + 56319499.

It is an arithmetic number, because the mean of its divisors is an integer number (11866913505).

Almost surely, 2400350053005 is an apocalyptic number.

It is an amenable number.

400350053005 is a deficient number, since it is larger than the sum of its proper divisors (169261795235).

400350053005 is a wasteful number, since it uses less digits than its factorization.

400350053005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

Subtracting 400350053005 from its reverse (500350053004), we obtain a palindrome (99999999999).

The spelling of 400350053005 in words is "four hundred billion, three hundred fifty million, fifty-three thousand, five".

Divisors: 1 5 7 35 49 53 245 265 371 1855 2597 4337 7109 12985 21685 30359 35545 49763 151795 212513 229861 248815 348341 376777 1062565 1149305 1609027 1741705 1883885 2637439 8045135 11263189 13187195 18462073 30831733 56315945 92310365 154158665 215822131 1079110655 1510754917 1634081849 7553774585 8170409245 11438572943 57192864715 80070010601 400350053005