Search a number
-
+
402450221044352 = 2713751322046743
BaseRepresentation
bin101101110000001101011111…
…0011101110001001010000000
31221202221212100212102201120102
41123200122332131301022000
5410222221023041404402
63543535025035301532
7150525032436110345
oct13340327635611200
91852855325381512
10402450221044352
111072621a8a18808
12391796708aa8a8
1314373b7bc05040
1471549a20ca7cc
15317d9c19ae102
hex16e06be771280

402450221044352 has 64 divisors (see below), whose sum is σ = 864579570812160. Its totient is φ = 185498923392000.

The previous prime is 402450221044331. The next prime is 402450221044373. The reversal of 402450221044352 is 253440122054204.

It is an interprime number because it is at equal distance from previous prime (402450221044331) and next prime (402450221044373).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×4024502210443523 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159773708 + ... + 162273035.

It is an arithmetic number, because the mean of its divisors is an integer number (13509055793940).

Almost surely, 2402450221044352 is an apocalyptic number.

It is an amenable number.

402450221044352 is an abundant number, since it is smaller than the sum of its proper divisors (462129349767808).

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

402450221044352 is a wasteful number, since it uses less digits than its factorization.

402450221044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322047521 (or 322047509 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 402450221044352 its reverse (253440122054204), we get a palindrome (655890343098556).

The spelling of 402450221044352 in words is "four hundred two trillion, four hundred fifty billion, two hundred twenty-one million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 751 832 1502 1664 3004 6008 9763 12016 19526 24032 39052 48064 78104 96128 156208 312416 624832 1249664 322046743 644093486 1288186972 2576373944 4186607659 5152747888 8373215318 10305495776 16746430636 20610991552 33492861272 41221983104 66985722544 133971445088 241857103993 267942890176 483714207986 535885780352 967428415972 1934856831944 3144142351909 3869713663888 6288284703818 7739427327776 12576569407636 15478854655552 25153138815272 30957709311104 50306277630544 100612555261088 201225110522176 402450221044352