Search a number
-
+
140122653616605 = 3511101467101917669
BaseRepresentation
bin11111110111000011011000…
…111111100110100111011101
3200101010121001122122211202010
4133313003120333212213131
5121331232143311212410
61214003243003421433
741341345660602042
oct3767033077464735
9611117048584663
10140122653616605
1140713757a81840
1213870861224879
1360256815c12ba
142685d88c311c9
15112eda2413c20
hex7f70d8fe69dd

140122653616605 has 128 divisors (see below), whose sum is σ = 247785126451200. Its totient is φ = 67051897472000.

The previous prime is 140122653616601. The next prime is 140122653616609. The reversal of 140122653616605 is 506616356221041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140122653616601) and next prime (140122653616609).

It is not a de Polignac number, because 140122653616605 - 22 = 140122653616601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140122653616601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7930414711 + ... + 7930432379.

It is an arithmetic number, because the mean of its divisors is an integer number (1935821300400).

Almost surely, 2140122653616605 is an apocalyptic number.

140122653616605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140122653616605 is a deficient number, since it is larger than the sum of its proper divisors (107662472834595).

140122653616605 is a wasteful number, since it uses less digits than its factorization.

140122653616605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 140122653616605 in words is "one hundred forty trillion, one hundred twenty-two billion, six hundred fifty-three million, six hundred sixteen thousand, six hundred five".

Divisors: 1 3 5 11 15 33 55 101 165 303 467 505 1019 1111 1401 1515 2335 3057 3333 5095 5137 5555 7005 11209 15285 15411 16665 17669 25685 33627 47167 53007 56045 77055 88345 102919 141501 168135 194359 235835 265035 308757 475873 514595 518837 583077 707505 971795 1132109 1427619 1543785 1556511 1784569 2379365 2594185 2915385 3396327 5234603 5353707 5660545 7138095 7782555 8251423 8922845 15703809 16981635 18004711 19630259 24754269 26173015 26768535 41257115 48063173 54014133 58890777 78519045 90023555 90765653 98151295 123771345 144189519 198051821 240315865 270070665 272296959 294453885 453828265 528694903 594155463 720947595 833393723 990259105 1361484795 1586084709 1818475811 2500181169 2643474515 2970777315 4166968615 5455427433 7930423545 8408200037 9092379055 9167330953 12500905845 20003233921 25224600111 27277137165 27501992859 42041000185 45836654765 60009701763 92490200407 100016169605 126123000555 137509964295 277470601221 300048508815 462451002035 849228203737 1387353006105 2547684611211 4246141018685 9341510241107 12738423056055 28024530723321 46707551205535 140122653616605