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141120523400 = 235237181105361
BaseRepresentation
bin1000001101101101110…
…0000100110010001000
3111111020221011100212212
42003123130010302020
54303003323222100
6144455130324252
713124045441243
oct2033334046210
9444227140785
10141120523400
1154937946a3a
1223424b89688
13103cca7a3ac
146b8a39025a
153a0e2ad635
hex20db704c88

141120523400 has 96 divisors (see below), whose sum is σ = 338837870280. Its totient is φ = 54618624000.

The previous prime is 141120523393. The next prime is 141120523421. The reversal of 141120523400 is 4325021141.

It can be written as a sum of positive squares in 12 ways, for example, as 16142718916 + 124977804484 = 127054^2 + 353522^2 .

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, 1286720 + ... + 1392080.

Almost surely, 2141120523400 is an apocalyptic number.

141120523400 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 141120523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169418935140).

141120523400 is an abundant number, since it is smaller than the sum of its proper divisors (197717346880).

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

141120523400 is a wasteful number, since it uses less digits than its factorization.

141120523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105595 (or 105586 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 141120523400 its reverse (4325021141), we get a palindrome (145445544541).

The spelling of 141120523400 in words is "one hundred forty-one billion, one hundred twenty million, five hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 181 185 200 296 362 370 724 740 905 925 1448 1480 1810 1850 3620 3700 4525 6697 7240 7400 9050 13394 18100 26788 33485 36200 53576 66970 105361 133940 167425 210722 267880 334850 421444 526805 669700 842888 1053610 1339400 2107220 2634025 3898357 4214440 5268050 7796714 10536100 15593428 19070341 19491785 21072200 31186856 38140682 38983570 76281364 77967140 95351705 97458925 152562728 155934280 190703410 194917850 381406820 389835700 476758525 705602617 762813640 779671400 953517050 1411205234 1907034100 2822410468 3528013085 3814068200 5644820936 7056026170 14112052340 17640065425 28224104680 35280130850 70560261700 141120523400