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10001142412224 = 26367777451991
BaseRepresentation
bin1001000110001001001010…
…0010100111001111000000
31022102002200210212210210020
42101202102202213033000
52302324314424142344
633134243354533440
72051362426603215
oct221422242471700
938362623783706
1010001142412224
113206508187257
121156356437280
13577146a389a2
142680b4b4bb0c
151252453a5719
hex918928a73c0

10001142412224 has 56 divisors (see below), whose sum is σ = 26856301611648. Its totient is φ = 3283957205760.

The previous prime is 10001142412207. The next prime is 10001142412273. The reversal of 10001142412224 is 42221424110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10001142412194 and 10001142412203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 388713132 + ... + 388738859.

Almost surely, 210001142412224 is an apocalyptic number.

It is an amenable number.

10001142412224 is an abundant number, since it is smaller than the sum of its proper divisors (16855159199424).

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

10001142412224 is an equidigital number, since it uses as much as digits as its factorization.

10001142412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777452073 (or 777452063 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10001142412224 its reverse (42221424110001), we get a palindrome (52222566522225).

The spelling of 10001142412224 in words is "ten trillion, one billion, one hundred forty-two million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 777451991 1554903982 2332355973 3109807964 4664711946 6219615928 9329423892 12439231856 18658847784 24878463712 37317695568 49756927424 52089283397 74635391136 104178566794 149270782272 156267850191 208357133588 312535700382 416714267176 625071400764 833428534352 1250142801528 1666857068704 2500285603056 3333714137408 5000571206112 10001142412224