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103630234032144 = 24322943577108583
BaseRepresentation
bin10111100100000001001011…
…010010011001100000010000
3111120220221202012002211100100
4113210001023102121200100
5102040334204403012034
61004223023340452400
730554015543241561
oct2744011322314020
9446827665084310
10103630234032144
1130024376527276
12b75829784a100
1345a939b309aa1
141b83a31518168
15bea9d82d8099
hex5e404b499810

103630234032144 has 120 divisors (see below), whose sum is σ = 306998682344640. Its totient is φ = 32576625236736.

The previous prime is 103630234032131. The next prime is 103630234032209. The reversal of 103630234032144 is 441230432036301.

It is a happy number.

103630234032144 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 30 + 2 + 3 + 403 + 214 + 4 = 666.

103630234032144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036302340321443 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103630234032099 and 103630234032108.

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 23 ways as a sum of consecutive naturals, for example, 288374724 + ... + 288733859.

It is an arithmetic number, because the mean of its divisors is an integer number (2558322352872).

Almost surely, 2103630234032144 is an apocalyptic number.

It is an amenable number.

103630234032144 is an abundant number, since it is smaller than the sum of its proper divisors (203368448312496).

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

103630234032144 is a wasteful number, since it uses less digits than its factorization.

103630234032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577108669 (or 577108660 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 103630234032144 its reverse (441230432036301), we get a palindrome (544860666068445).

The spelling of 103630234032144 in words is "one hundred three trillion, six hundred thirty billion, two hundred thirty-four million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 43 48 58 72 86 87 116 129 144 172 174 232 258 261 344 348 387 464 516 522 688 696 774 1032 1044 1247 1392 1548 2064 2088 2494 3096 3741 4176 4988 6192 7482 9976 11223 14964 19952 22446 29928 44892 59856 89784 179568 577108583 1154217166 1731325749 2308434332 3462651498 4616868664 5193977247 6925302996 9233737328 10387954494 13850605992 16736148907 20775908988 24815669069 27701211984 33472297814 41551817976 49631338138 50208446721 66944595628 74447007207 83103635952 99262676276 100416893442 133889191256 148894014414 150625340163 198525352552 200833786884 223341021621 267778382512 297788028828 301250680326 397050705104 401667573768 446682043242 595576057656 602501360652 719654403001 803335147536 893364086484 1191152115312 1205002721304 1439308806002 1786728172968 2158963209003 2410005442608 2878617612004 3573456345936 4317926418006 5757235224008 6476889627009 8635852836012 11514470448016 12953779254018 17271705672024 25907558508036 34543411344048 51815117016072 103630234032144