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144141532000 = 255354796577
BaseRepresentation
bin1000011000111110000…
…0010011101101100000
3111210001110201111121021
42012033200103231200
54330200213011000
6150115005135224
713261650543424
oct2061740235540
9453043644537
10144141532000
1156148156464
1223b2885a514
131079190914b
146d956a4b84
153b3960211a
hex218f813b60

144141532000 has 96 divisors (see below), whose sum is σ = 354274240320. Its totient is φ = 57637324800.

The previous prime is 144141531949. The next prime is 144141532001. The reversal of 144141532000 is 235141441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144141532001) 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, 21912712 + ... + 21919288.

It is an arithmetic number, because the mean of its divisors is an integer number (3690356670).

Almost surely, 2144141532000 is an apocalyptic number.

144141532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144141532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177137120160).

144141532000 is an abundant number, since it is smaller than the sum of its proper divisors (210132708320).

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

144141532000 is an equidigital number, since it uses as much as digits as its factorization.

144141532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 144141532000 its reverse (235141441), we get a palindrome (144376673441).

The spelling of 144141532000 in words is "one hundred forty-four billion, one hundred forty-one million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5479 6577 10958 13154 21916 26308 27395 32885 43832 52616 54790 65770 87664 105232 109580 131540 136975 164425 175328 210464 219160 263080 273950 328850 438320 526160 547900 657700 684875 822125 876640 1052320 1095800 1315400 1369750 1644250 2191600 2630800 2739500 3288500 4383200 5261600 5479000 6577000 10958000 13154000 21916000 26308000 36035383 72070766 144141532 180176915 288283064 360353830 576566128 720707660 900884575 1153132256 1441415320 1801769150 2882830640 3603538300 4504422875 5765661280 7207076600 9008845750 14414153200 18017691500 28828306400 36035383000 72070766000 144141532000