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144212046083248 = 241113193317354759
BaseRepresentation
bin100000110010100011111011…
…110001110111010010110000
3200220121112111110001100201011
4200302203323301313102300
5122400232232244130443
61230414033244320304
742242655640205353
oct4062437361672260
9626545443040634
10144212046083248
1141a4aa92460710
1214211316543094
1362611a33a64c0
142787c864c429a
1511a1446240b9d
hex8328fbc774b0

144212046083248 has 80 divisors (see below), whose sum is σ = 345535671801600. Its totient is φ = 57323890218240.

The previous prime is 144212046083213. The next prime is 144212046083249. The reversal of 144212046083248 is 842380640212441.

144212046083248 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 2×1442120460832482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144212046083249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1658633908 + ... + 1658720851.

It is an arithmetic number, because the mean of its divisors is an integer number (4319195897520).

Almost surely, 2144212046083248 is an apocalyptic number.

It is an amenable number.

144212046083248 is an abundant number, since it is smaller than the sum of its proper divisors (201323625718352).

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

144212046083248 is a wasteful number, since it uses less digits than its factorization.

144212046083248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317354810 (or 3317354804 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 49.

Adding to 144212046083248 its reverse (842380640212441), we get a palindrome (986592686295689).

The spelling of 144212046083248 in words is "one hundred forty-four trillion, two hundred twelve billion, forty-six million, eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1672 1976 2288 2717 3344 3952 5434 10868 21736 43472 3317354759 6634709518 13269419036 26538838072 36490902349 43125611867 53077676144 63029740421 72981804698 86251223734 126059480842 145963609396 172502447468 252118961684 291927218792 345004894936 474381730537 504237923368 583854437584 690009789872 693327144631 819386625473 948763461074 1008475846736 1386654289262 1638773250946 1897526922148 2773308578524 3277546501892 3795053844296 5546617157048 6555093003784 7590107688592 9013252880203 11093234314096 13110186007568 18026505760406 36053011520812 72106023041624 144212046083248