Search a number
-
+
2140402420300 = 2252732116912011
BaseRepresentation
bin11111001001011001111…
…011010000101001001100
321120121202022202210120211
4133021121323100221030
5240032021004422200
64315142020052204
7310432111246264
oct37113173205114
97517668683524
102140402420300
11755815403291
122a69a8534064
13126aba604491
147584b7127a4
153aa241deaba
hex1f259ed0a4c

2140402420300 has 144 divisors (see below), whose sum is σ = 4739814937984. Its totient is φ = 838797120000.

The previous prime is 2140402420279. The next prime is 2140402420309. The reversal of 2140402420300 is 30242040412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2140402420309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064346295 + ... + 1064348305.

Almost surely, 22140402420300 is an apocalyptic number.

2140402420300 is a gapful number since it is divisible by the number (20) 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 2140402420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369907468992).

2140402420300 is an abundant number, since it is smaller than the sum of its proper divisors (2599412517684).

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

2140402420300 is a wasteful number, since it uses less digits than its factorization.

2140402420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2140402420300 its reverse (30242040412), we get a palindrome (2170644460712).

The spelling of 2140402420300 in words is "two trillion, one hundred forty billion, four hundred two million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 211 292 365 422 691 730 844 1055 1382 1460 1825 2011 2110 2764 3455 3650 4022 4220 5275 6910 7300 8044 10055 10550 13820 15403 17275 20110 21100 30806 34550 40220 50275 50443 61612 69100 77015 100550 100886 145801 146803 154030 201100 201772 252215 291602 293606 308060 385075 424321 504430 583204 587212 729005 734015 770150 848642 1008860 1261075 1389601 1458010 1468030 1540300 1697284 2121605 2522150 2779202 2916020 2936060 3645025 3670075 4243210 5044300 5558404 6948005 7290050 7340150 8486420 10608025 10643473 13896010 14580100 14680300 21216050 21286946 27792020 30975433 34740025 42432100 42573892 53217365 61950866 69480050 101440873 106434730 123901732 138960100 154877165 202881746 212869460 266086825 293205811 309754330 405763492 507204365 532173650 586411622 619508660 774385825 1014408730 1064347300 1172823244 1466029055 1548771650 2028817460 2536021825 2932058110 3097543300 5072043650 5864116220 7330145275 10144087300 14660290550 21404024203 29320581100 42808048406 85616096812 107020121015 214040242030 428080484060 535100605075 1070201210150 2140402420300