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141740117200 = 24521142177639
BaseRepresentation
bin1000010000000001011…
…1101000110011010000
3111112212010000222210101
42010000113220303100
54310240432222300
6145040422342144
713145311055203
oct2040027506320
9445763028711
10141740117200
1155125667a30
122357858a954
131049b246546
146c0879793a
153a4889bb6a
hex21005e8cd0

141740117200 has 120 divisors (see below), whose sum is σ = 371624696640. Its totient is φ = 51522892800.

The previous prime is 141740117171. The next prime is 141740117203. The reversal of 141740117200 is 2711047141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141740117203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18550981 + ... + 18558619.

It is an arithmetic number, because the mean of its divisors is an integer number (3096872472).

Almost surely, 2141740117200 is an apocalyptic number.

141740117200 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 141740117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185812348320).

141740117200 is an abundant number, since it is smaller than the sum of its proper divisors (229884579440).

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

141740117200 is a wasteful number, since it uses less digits than its factorization.

141740117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The spelling of 141740117200 in words is "one hundred forty-one billion, seven hundred forty million, one hundred seventeen 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 4217 4400 7639 8434 15278 16868 21085 30556 33736 38195 42170 46387 61112 67472 76390 84029 84340 92774 105425 122224 152780 168058 168680 185548 190975 210850 231935 305560 336116 337360 371096 381950 420145 421700 463870 611120 672232 742192 763900 840290 843400 927740 1159675 1344464 1527800 1680580 1686800 1855480 2100725 2319350 3055600 3361160 3710960 4201450 4638700 6722320 8402900 9277400 16805800 18554800 32213663 33611600 64427326 128854652 161068315 257709304 322136630 354350293 515418608 644273260 708700586 805341575 1288546520 1417401172 1610683150 1771751465 2577093040 2834802344 3221366300 3543502930 5669604688 6442732600 7087005860 8858757325 12885465200 14174011720 17717514650 28348023440 35435029300 70870058600 141740117200