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144154431301401 = 33291459593921247
BaseRepresentation
bin100000110001101110010001…
…101010111010011100011001
3200220102000210011200012011000
4200301232101222322130121
5122343311233403121101
61230331344223455213
742235546122510423
oct4061562152723431
9626360704605130
10144154431301401
1141a2860740a324
1214202117457509
136258920b5aa01
14278517c723813
15119ebc30e4486
hex831b91aba719

144154431301401 has 64 divisors (see below), whose sum is σ = 221125386240000. Its totient is φ = 92705485110336.

The previous prime is 144154431301393. The next prime is 144154431301403. The reversal of 144154431301401 is 104103134451441.

144154431301401 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 54 + 431 + 30 + 140 + 1 = 666.

It is not a de Polignac number, because 144154431301401 - 23 = 144154431301393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144154431301403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6784685160 + ... + 6784706406.

It is an arithmetic number, because the mean of its divisors is an integer number (3455084160000).

Almost surely, 2144154431301401 is an apocalyptic number.

It is an amenable number.

144154431301401 is a deficient number, since it is larger than the sum of its proper divisors (76970954938599).

144154431301401 is a wasteful number, since it uses less digits than its factorization.

144154431301401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28677 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 144154431301401 its reverse (104103134451441), we get a palindrome (248257565752842).

The spelling of 144154431301401 in words is "one hundred forty-four trillion, one hundred fifty-four billion, four hundred thirty-one million, three hundred one thousand, four hundred one".

Divisors: 1 3 9 27 29 87 261 783 1459 4377 5939 13131 17817 21247 39393 42311 53451 63741 126933 160353 172231 191223 380799 516693 573669 616163 1142397 1550079 1848489 4650237 5545467 8665001 16636401 25995003 30999373 77985009 92998119 126185933 233955027 251285029 278994357 378557799 753855087 836983071 898981817 1135673397 2261565261 2696945451 3407020191 3659392057 6784695783 8090836353 10978176171 24272509059 32934528513 98803585539 184105276247 552315828741 1656947486223 4970842458669 5339053011163 16017159033489 48051477100467 144154431301401