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400717060146 = 233131123508301
BaseRepresentation
bin1011101010011001001…
…10010001100000110010
31102022022122211210121000
411311030212101200302
523031132031411041
6504030433142430
740644066545244
oct5651446214062
91368278753530
10400717060146
11144a41374297
12657b33baa16
132ba310719a0
14155754dc094
15a65483abb6
hex5d4c991832

400717060146 has 64 divisors (see below), whose sum is σ = 959836832640. Its totient is φ = 123187521600.

The previous prime is 400717060127. The next prime is 400717060147. The reversal of 400717060146 is 641060717004.

400717060146 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 1 + 7 + 0 + 601 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400717060146.

It is not an unprimeable number, because it can be changed into a prime (400717060147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534196 + ... + 1042496.

It is an arithmetic number, because the mean of its divisors is an integer number (14997450510).

Almost surely, 2400717060146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400717060146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479918416320).

400717060146 is an abundant number, since it is smaller than the sum of its proper divisors (559119772494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400717060146 is a wasteful number, since it uses less digits than its factorization.

400717060146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509448 (or 509442 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 400717060146 in words is "four hundred billion, seven hundred seventeen million, sixty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1123 2246 3369 6738 10107 14599 20214 29198 30321 43797 60642 87594 131391 262782 394173 508301 788346 1016602 1524903 3049806 4574709 6607913 9149418 13215826 13724127 19823739 27448254 39647478 59471217 118942434 178413651 356827302 570822023 1141644046 1712466069 3424932138 5137398207 7420686299 10274796414 14841372598 15412194621 22262058897 30824389242 44524117794 66786176691 133572353382 200358530073 400717060146