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423601166142144 = 26323263322536043
BaseRepresentation
bin110000001010000110101010…
…1000010001100101011000000
32001112211212122121011010000200
41200110031111002030223000
5421010240142013022034
64100531404513245200
7155140113534060564
oct14024152502145300
92045755577133020
10423601166142144
11112a77278033841
123b6148b1563800
131524955978a403
14768659787b6a4
1533e8c89b24a99
hex181435508cac0

423601166142144 has 84 divisors (see below), whose sum is σ = 1214213520088296. Its totient is φ = 141196055528448.

The previous prime is 423601166142139. The next prime is 423601166142149. The reversal of 423601166142144 is 441241661106324.

It is a happy number.

423601166142144 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 0 + 1 + 1 + 6 + 614 + 21 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (423601166142139) and next prime (423601166142149).

It is a self number, because there is not a number n which added to its sum of digits gives 423601166142144.

It is not an unprimeable number, because it can be changed into a prime (423601166142149) 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 11 ways as a sum of consecutive naturals, for example, 7528587 + ... + 30064629.

It is an arithmetic number, because the mean of its divisors is an integer number (14454922858194).

Almost surely, 2423601166142144 is an apocalyptic number.

It is an amenable number.

423601166142144 is an abundant number, since it is smaller than the sum of its proper divisors (790612353946152).

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

423601166142144 is a wasteful number, since it uses less digits than its factorization.

423601166142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22568694 (or 22568681 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 423601166142144 in words is "four hundred twenty-three trillion, six hundred one billion, one hundred sixty-six million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 32633 65266 97899 130532 195798 261064 293697 391596 522128 587394 783192 1044256 1174788 1566384 2088512 2349576 3132768 4699152 6265536 9398304 18796608 22536043 45072086 67608129 90144172 135216258 180288344 202824387 270432516 360576688 405648774 540865032 721153376 811297548 1081730064 1442306752 1622595096 2163460128 3245190192 4326920256 6490380384 12980760768 735418691219 1470837382438 2206256073657 2941674764876 4412512147314 5883349529752 6618768220971 8825024294628 11766699059504 13237536441942 17650048589256 23533398119008 26475072883884 35300097178512 47066796238016 52950145767768 70600194357024 105900291535536 141200388714048 211800583071072 423601166142144