Search a number
-
+
140013243244040 = 2357389538761133
BaseRepresentation
bin11111110101011101011111…
…101000001001111000001000
3200100202010122122202001011012
4133311131133220021320020
5121322434110232302130
61213441110155423052
741330423456020025
oct3765353750117010
9610663578661135
10140013243244040
1140681312745531
1213853607a54a88
1360182662ca98a
14268096a09454c
15112c0ebe8a995
hex7f575fa09e08

140013243244040 has 64 divisors (see below), whose sum is σ = 322933423719600. Its totient is φ = 54617448517632.

The previous prime is 140013243244037. The next prime is 140013243244067. The reversal of 140013243244040 is 40442342310041.

It can be written as a sum of positive squares in 8 ways, for example, as 92446648146724 + 47566595097316 = 9614918^2 + 6896854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140013243243988 and 140013243244006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269120687 + ... + 269640446.

Almost surely, 2140013243244040 is an apocalyptic number.

140013243244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140013243244040 is an abundant number, since it is smaller than the sum of its proper divisors (182920180475560).

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

140013243244040 is a wasteful number, since it uses less digits than its factorization.

140013243244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538761306 (or 538761302 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 140013243244040 its reverse (40442342310041), we get a palindrome (180455585554081).

The spelling of 140013243244040 in words is "one hundred forty trillion, thirteen billion, two hundred forty-three million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 89 146 178 292 356 365 445 584 712 730 890 1460 1780 2920 3560 6497 12994 25988 32485 51976 64970 129940 259880 538761133 1077522266 2155044532 2693805665 4310089064 5387611330 10775222660 21550445320 39329562709 47949740837 78659125418 95899481674 157318250836 191798963348 196647813545 239748704185 314636501672 383597926696 393295627090 479497408370 786591254180 958994816740 1573182508360 1917989633480 3500331081101 7000662162202 14001324324404 17501655405505 28002648648808 35003310811010 70006621622020 140013243244040