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400134513420153 = 33109233583525487
BaseRepresentation
bin101101011111010111001001…
…1100010001110011101111001
31221110202111010012222212021000
41122332232103202032131321
5404421300440413421103
63535003131404235213
7150165523154063121
oct13276562342163571
91843674105885230
10400134513420153
1110654a104382126
1238a648bab3bb09
13142366a45175a5
1470b4884313c81
15313d63c331aa3
hex16beb9388e779

400134513420153 has 32 divisors (see below), whose sum is σ = 600797842444800. Its totient is φ = 263174662389888.

The previous prime is 400134513420113. The next prime is 400134513420181. The reversal of 400134513420153 is 351024315431004.

400134513420153 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 3 + 451 + 34 + 20 + 153 = 666.

It is not a de Polignac number, because 400134513420153 - 216 = 400134513354617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400134513420113) 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, 291077025 + ... + 292448462.

It is an arithmetic number, because the mean of its divisors is an integer number (18774932576400).

Almost surely, 2400134513420153 is an apocalyptic number.

It is an amenable number.

400134513420153 is a deficient number, since it is larger than the sum of its proper divisors (200663329024647).

400134513420153 is a wasteful number, since it uses less digits than its factorization.

400134513420153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583525838 (or 583525832 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 400134513420153 its reverse (351024315431004), we get a palindrome (751158828851157).

The spelling of 400134513420153 in words is "four hundred trillion, one hundred thirty-four billion, five hundred thirteen million, four hundred twenty thousand, one hundred fifty-three".

Divisors: 1 3 9 27 109 233 327 699 981 2097 2943 6291 25397 76191 228573 685719 583525487 1750576461 5251729383 15755188149 63604278083 135961438471 190812834249 407884315413 572438502747 1223652946239 1717315508241 3670958838717 14819796793339 44459390380017 133378171140051 400134513420153