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140001545000 = 2354172337069
BaseRepresentation
bin1000001001100010111…
…1100000101100101000
3111101100221121101002102
42002120233200230220
54243210343420000
6144152114552532
713054240332452
oct2023057405450
9441327541072
10140001545000
11544132499a9
1223172298748
1310281cb32b5
146ac19112d2
153995e293d5
hex2098be0b28

140001545000 has 160 divisors (see below), whose sum is σ = 348859110600. Its totient is φ = 52472832000.

The previous prime is 140001544987. The next prime is 140001545023. The reversal of 140001545000 is 545100041.

It can be written as a sum of positive squares in 20 ways, for example, as 67005393316 + 72996151684 = 258854^2 + 270178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19801466 + ... + 19808534.

Almost surely, 2140001545000 is an apocalyptic number.

140001545000 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 140001545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174429555300).

140001545000 is an abundant number, since it is smaller than the sum of its proper divisors (208857565600).

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

140001545000 is a wasteful number, since it uses less digits than its factorization.

140001545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 140001545000 its reverse (545100041), we get a palindrome (140546645041).

The spelling of 140001545000 in words is "one hundred forty billion, one million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 233 250 340 425 466 500 625 680 850 932 1000 1165 1250 1700 1864 2125 2330 2500 3400 3961 4250 4660 5000 5825 7069 7922 8500 9320 10625 11650 14138 15844 17000 19805 21250 23300 28276 29125 31688 35345 39610 42500 46600 56552 58250 70690 79220 85000 99025 116500 120173 141380 145625 158440 176725 198050 233000 240346 282760 291250 353450 396100 480692 495125 582500 600865 706900 792200 883625 961384 990250 1165000 1201730 1413800 1647077 1767250 1980500 2403460 2475625 3004325 3294154 3534500 3961000 4418125 4806920 4951250 6008650 6588308 7069000 8235385 8836250 9902500 12017300 13176616 15021625 16470770 17672500 19805000 24034600 28000309 30043250 32941540 35345000 41176925 56000618 60086500 65883080 75108125 82353850 112001236 120173000 140001545 150216250 164707700 205884625 224002472 280003090 300432500 329415400 411769250 560006180 600865000 700007725 823538500 1029423125 1120012360 1400015450 1647077000 2058846250 2800030900 3500038625 4117692500 5600061800 7000077250 8235385000 14000154500 17500193125 28000309000 35000386250 70000772500 140001545000