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144929471049 = 3411477014937
BaseRepresentation
bin1000011011111001111…
…0000011101001001001
3111212002101100221210000
42012332132003221021
54333303421033144
6150325113313213
713320326115006
oct2067636035111
9455071327700
10144929471049
11565119a9760
1224108705809
1310888c2837c
14702c1b08ad
153b83895769
hex21be783a49

144929471049 has 80 divisors (see below), whose sum is σ = 241599511296. Its totient is φ = 85827168000.

The previous prime is 144929471021. The next prime is 144929471059. The reversal of 144929471049 is 940174929441.

It is a happy number.

144929471049 is a `hidden beast` number, since 1 + 4 + 492 + 9 + 47 + 104 + 9 = 666.

144929471049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144929471049 - 27 = 144929470921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144929470986 and 144929471004.

It is not an unprimeable number, because it can be changed into a prime (144929471059) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 29353309 + ... + 29358245.

Almost surely, 2144929471049 is an apocalyptic number.

It is an amenable number.

144929471049 is a deficient number, since it is larger than the sum of its proper divisors (96670040247).

144929471049 is a wasteful number, since it uses less digits than its factorization.

144929471049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 144929471049 in words is "one hundred forty-four billion, nine hundred twenty-nine million, four hundred seventy-one thousand, forty-nine".

Divisors: 1 3 9 11 27 33 47 81 99 141 297 423 517 701 891 1269 1551 2103 3807 4653 4937 6309 7711 13959 14811 18927 23133 32947 41877 44433 54307 56781 69399 98841 133299 162921 208197 232039 296523 362417 399897 488763 624591 696117 889569 1087251 1466289 2088351 2552429 2668707 3261753 3460837 4398867 6265053 7657287 9785259 10382511 18795159 22971861 29355777 31147533 38069207 68915583 93442599 114207621 162659339 206746749 280327797 342622863 487978017 1027868589 1463934051 1789252729 3083605767 4391802153 5367758187 13175406459 16103274561 48309823683 144929471049