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140141300 = 2252132343109
BaseRepresentation
bin10000101101001…
…10001011110100
3100202200220201112
420112212023310
5241334010200
621523414152
73321116135
oct1026461364
9322626645
10140141300
1172119262
123ab24358
1323059760
141487dc8c
15c483535
hex85a62f4

140141300 has 144 divisors (see below), whose sum is σ = 352894080. Its totient is φ = 47900160.

The previous prime is 140141293. The next prime is 140141341. The reversal of 140141300 is 3141041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1285646 + ... + 1285754.

Almost surely, 2140141300 is an apocalyptic number.

140141300 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 140141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

140141300 is an abundant number, since it is smaller than the sum of its proper divisors (212752780).

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

140141300 is a wasteful number, since it uses less digits than its factorization.

140141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 140141300 is about 11838.1290751537. The cubic root of 140141300 is about 519.4240417845.

Adding to 140141300 its reverse (3141041), we get a palindrome (143282341).

The spelling of 140141300 in words is "one hundred forty million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 43 46 50 52 65 86 92 100 109 115 130 172 215 218 230 260 299 325 430 436 460 545 559 575 598 650 860 989 1075 1090 1118 1150 1196 1300 1417 1495 1978 2150 2180 2236 2300 2507 2725 2795 2834 2990 3956 4300 4687 4945 5014 5450 5590 5668 5980 7085 7475 9374 9890 10028 10900 11180 12535 12857 13975 14170 14950 18748 19780 23435 24725 25070 25714 27950 28340 29900 32591 35425 46870 49450 50140 51428 55900 60931 62675 64285 65182 70850 93740 98900 107801 117175 121862 125350 128570 130364 141700 162955 215602 234350 243724 250700 257140 304655 321425 325910 431204 468700 539005 609310 642850 651820 814775 1078010 1218620 1285700 1401413 1523275 1629550 2156020 2695025 2802826 3046550 3259100 5390050 5605652 6093100 7007065 10780100 14014130 28028260 35035325 70070650 140141300