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144331031034132 = 2231953113105698921
BaseRepresentation
bin100000110100010010101111…
…110101011011100100010100
3200221000220121201020010120220
4200310102233311123210110
5122404204422421043012
61230544432120554340
742254400332461035
oct4064225765334424
9627026551203526
10144331031034132
1141a964a0353368
12142303a23229b0
13626c4861b4897
14278d932ac2a8c
1511a45ac04108c
hex8344afd5b914

144331031034132 has 96 divisors (see below), whose sum is σ = 364382235745920. Its totient is φ = 44322516725760.

The previous prime is 144331031034131. The next prime is 144331031034251. The reversal of 144331031034132 is 231430130133441.

It is a junction number, because it is equal to n+sod(n) for n = 144331031034093 and 144331031034102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144331031034131) 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 31 ways as a sum of consecutive naturals, for example, 51483969 + ... + 54214952.

It is an arithmetic number, because the mean of its divisors is an integer number (3795648289020).

Almost surely, 2144331031034132 is an apocalyptic number.

144331031034132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144331031034132 is an abundant number, since it is smaller than the sum of its proper divisors (220051204711788).

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

144331031034132 is a wasteful number, since it uses less digits than its factorization.

144331031034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105699113 (or 105699111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 144331031034132 its reverse (231430130133441), we get a palindrome (375761161167573).

The spelling of 144331031034132 in words is "one hundred forty-four trillion, three hundred thirty-one billion, thirty-one million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 113 114 159 212 226 228 318 339 452 636 678 1007 1356 2014 2147 3021 4028 4294 5989 6042 6441 8588 11978 12084 12882 17967 23956 25764 35934 71868 113791 227582 341373 455164 682746 1365492 105698921 211397842 317096763 422795684 634193526 1268387052 2008279499 4016558998 5602042813 6024838497 8033117996 11204085626 11943978073 12049676994 16806128439 22408171252 23887956146 24099353988 33612256878 35831934219 47775912292 67224513756 71663868438 106438813447 143327736876 212877626894 226935583387 319316440341 425755253788 453871166774 633030837869 638632880682 680806750161 907742333548 1266061675738 1277265761364 1361613500322 1899092513607 2532123351476 2723227000644 3798185027214 7596370054428 12027585919511 24055171839022 36082757758533 48110343678044 72165515517066 144331031034132