Search a number
-
+
140431314000 = 2435341570859
BaseRepresentation
bin1000001011001001011…
…0111100110001010000
3111102110220021220022210
42002302112330301100
54300100404022000
6144302510232120
713101006321345
oct2026226746120
9442426256283
10140431314000
11546138a779a
12232721b5640
1310320048693
146b22a247cc
1539bda1d350
hex20b25bcc50

140431314000 has 160 divisors (see below), whose sum is σ = 463794065280. Its totient is φ = 36534912000.

The previous prime is 140431313947. The next prime is 140431314019. The reversal of 140431314000 is 413134041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39430 + ... + 531429.

It is an arithmetic number, because the mean of its divisors is an integer number (2898712908).

Almost surely, 2140431314000 is an apocalyptic number.

140431314000 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 140431314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231897032640).

140431314000 is an abundant number, since it is smaller than the sum of its proper divisors (323362751280).

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

140431314000 is a wasteful number, since it uses less digits than its factorization.

140431314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570926 (or 570910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 140431314000 its reverse (413134041), we get a palindrome (140844448041).

The spelling of 140431314000 in words is "one hundred forty billion, four hundred thirty-one million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 570859 1141718 1712577 2283436 2854295 3425154 4566872 5708590 6850308 8562885 9133744 11417180 13700616 14271475 17125770 22834360 23405219 27401232 28542950 34251540 42814425 45668720 46810438 57085900 68503080 70215657 71357375 85628850 93620876 114171800 117026095 137006160 140431314 142714750 171257700 187241752 214072125 228343600 234052190 280862628 285429500 342515400 351078285 374483504 428144250 468104380 561725256 570859000 585130475 685030800 702156570 856288500 936208760 1123450512 1141718000 1170260950 1404313140 1712577000 1755391425 1872417520 2340521900 2808626280 2925652375 3425154000 3510782850 4681043800 5617252560 5851304750 7021565700 8776957125 9362087600 11702609500 14043131400 17553914250 23405219000 28086262800 35107828500 46810438000 70215657000 140431314000