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144953089176 = 23371078063701
BaseRepresentation
bin1000011011111111100…
…0001001110010011000
3111212011000210212202110
42012333320021302120
54333330442323201
6150331315432320
713321033633350
oct2067770116230
9455130725673
10144953089176
1156524270375
12241145b56a0
1310890aa75ac
14703139bb60
153b859ad6d6
hex21bfe09c98

144953089176 has 64 divisors (see below), whose sum is σ = 418022311680. Its totient is φ = 41028105600.

The previous prime is 144953089153. The next prime is 144953089217. The reversal of 144953089176 is 671980359441.

It is a happy number.

144953089176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1449530891762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4013875 + ... + 4049826.

It is an arithmetic number, because the mean of its divisors is an integer number (6531598620).

Almost surely, 2144953089176 is an apocalyptic number.

It is an amenable number.

144953089176 is an abundant number, since it is smaller than the sum of its proper divisors (273069222504).

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

144953089176 is a wasteful number, since it uses less digits than its factorization.

144953089176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063824 (or 8063820 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 144953089176 in words is "one hundred forty-four billion, nine hundred fifty-three million, eighty-nine thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 4494 5992 8988 17976 8063701 16127402 24191103 32254804 48382206 56445907 64509608 96764412 112891814 169337721 193528824 225783628 338675442 451567256 677350884 862816007 1354701768 1725632014 2588448021 3451264028 5176896042 6039712049 6902528056 10353792084 12079424098 18119136147 20707584168 24158848196 36238272294 48317696392 72476544588 144953089176