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144002413240 = 23572154947431
BaseRepresentation
bin1000011000011100110…
…1100111001010111000
3111202200202221112112121
42012013031213022320
54324404104210430
6150053115251024
713255341213400
oct2060715471270
9452622845477
10144002413240
1156086676484
1223aaa149a74
131076bb49c5a
146d8100d800
153b2c2c1a7a
hex21873672b8

144002413240 has 96 divisors (see below), whose sum is σ = 377155548000. Its totient is φ = 49339342080.

The previous prime is 144002413231. The next prime is 144002413241. The reversal of 144002413240 is 42314200441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002413241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3012325 + ... + 3059755.

It is an arithmetic number, because the mean of its divisors is an integer number (3928703625).

Almost surely, 2144002413240 is an apocalyptic number.

144002413240 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 144002413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188577774000).

144002413240 is an abundant number, since it is smaller than the sum of its proper divisors (233153134760).

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

144002413240 is a wasteful number, since it uses less digits than its factorization.

144002413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49005 (or 48994 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144002413240 its reverse (42314200441), we get a palindrome (186316613681).

The spelling of 144002413240 in words is "one hundred forty-four billion, two million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1549 1960 3098 6196 7745 10843 12392 15490 21686 30980 43372 47431 54215 61960 75901 86744 94862 108430 151802 189724 216860 237155 303604 332017 379448 379505 433720 474310 607208 664034 759010 948620 1328068 1518020 1660085 1897240 2324119 2656136 3036040 3320170 4648238 6640340 9296476 11620595 13280680 18592952 23241190 46482380 73470619 92964760 146941238 293882476 367353095 514294333 587764952 734706190 1028588666 1469412380 2057177332 2571471665 2938824760 3600060331 4114354664 5142943330 7200120662 10285886660 14400241324 18000301655 20571773320 28800482648 36000603310 72001206620 144002413240