Search a number
-
+
140135115231 = 372361109419
BaseRepresentation
bin1000001010000010110…
…1000010100111011111
3111101201020221110000000
42002200231002213133
54243444042141411
6144213245505343
713060451553156
oct2024055024737
9441636843000
10140135115231
115448168a221
12231aab72253
13102a387bb37
146ad556059d
1539a2a10956
hex20a0b429df

140135115231 has 128 divisors (see below), whose sum is σ = 225485568000. Its totient is φ = 86882336640.

The previous prime is 140135115209. The next prime is 140135115247. The reversal of 140135115231 is 132511531041.

140135115231 is a `hidden beast` number, since 1 + 4 + 0 + 135 + 1 + 1 + 523 + 1 = 666.

It is not a de Polignac number, because 140135115231 - 26 = 140135115167 is a prime.

It is a super-2 number, since 2×1401351152312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140135115195 and 140135115204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140135115251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334451140 + ... + 334451558.

It is an arithmetic number, because the mean of its divisors is an integer number (1761606000).

Almost surely, 2140135115231 is an apocalyptic number.

140135115231 is a deficient number, since it is larger than the sum of its proper divisors (85350452769).

140135115231 is an equidigital number, since it uses as much as digits as its factorization.

140135115231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 140135115231 its reverse (132511531041), we get a palindrome (272646646272).

The spelling of 140135115231 in words is "one hundred forty billion, one hundred thirty-five million, one hundred fifteen thousand, two hundred thirty-one".

Divisors: 1 3 9 23 27 61 69 81 109 183 207 243 327 419 549 621 729 981 1257 1403 1647 1863 2187 2507 2943 3771 4209 4941 5589 6649 7521 8829 9637 11313 12627 14823 16767 19947 22563 25559 26487 28911 33939 37881 44469 45671 50301 59841 67689 76677 79461 86733 101817 113643 133407 137013 152927 179523 203067 230031 238383 260199 305451 340929 411039 458781 538569 587857 609201 690093 780597 916353 1022787 1050433 1233117 1376343 1615707 1763571 1827603 2070279 2341791 2785931 3068361 3151299 3699351 4129029 4847121 5290713 5482809 6210837 7025373 8357793 9453897 11098053 12387087 14541363 15872139 18632511 21076119 25073379 28361691 33294159 37161261 47616417 55897533 64076413 75220137 85085073 99882477 111483783 142849251 192229239 225660411 255255219 334451349 428547753 576687717 676981233 765765657 1285643259 1730063151 2030943699 2297296971 5190189453 6092831097 15570568359 46711705077 140135115231