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144545513200 = 245211234114033
BaseRepresentation
bin1000011010011110010…
…1010111111011110000
3111211002121212212121221
42012213211113323300
54332012122410300
6150223035554424
713304654406244
oct2064745277360
9454077785557
10144545513200
11563351a0520
122401bbbba14
131082751288a
146dd31c4424
153b5ed0031a
hex21a7957ef0

144545513200 has 120 divisors (see below), whose sum is σ = 379029486096. Its totient is φ = 52535808000.

The previous prime is 144545513041. The next prime is 144545513251. The reversal of 144545513200 is 2315545441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10293384 + ... + 10307416.

Almost surely, 2144545513200 is an apocalyptic number.

144545513200 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 144545513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189514743048).

144545513200 is an abundant number, since it is smaller than the sum of its proper divisors (234483972896).

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

144545513200 is a wasteful number, since it uses less digits than its factorization.

144545513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16392 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 144545513200 in words is "one hundred forty-four billion, five hundred forty-five million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2341 4400 4682 9364 11705 14033 18728 23410 25751 28066 37456 46820 51502 56132 58525 70165 93640 103004 112264 117050 128755 140330 154363 187280 206008 224528 234100 257510 280660 308726 350825 412016 468200 515020 561320 617452 643775 701650 771815 936400 1030040 1122640 1234904 1287550 1403300 1543630 2060080 2469808 2575100 2806600 3087260 3859075 5150200 5613200 6174520 7718150 10300400 12349040 15436300 30872600 32851253 61745200 65702506 131405012 164256265 262810024 328512530 361363783 525620048 657025060 722727566 821281325 1314050120 1445455132 1642562650 1806818915 2628100240 2890910264 3285125300 3613637830 5781820528 6570250600 7227275660 9034094575 13140501200 14454551320 18068189150 28909102640 36136378300 72272756600 144545513200