Search a number
-
+
300114235140240 = 24351250475979751
BaseRepresentation
bin100010000111100111100101…
…0011000001010100010010000
31110100121122022001111222110010
41010033033022120022202100
5303314032423143441430
62542142324251434520
7120133352343236133
oct10417171230124220
91410548261458403
10300114235140240
1187697806858134
12297b0196155a40
13cb5c860162261
14541786c29c21a
1524a69d7677cb0
hex110f3ca60a890

300114235140240 has 40 divisors (see below), whose sum is σ = 930354128935488. Its totient is φ = 80030462704000.

The previous prime is 300114235140193. The next prime is 300114235140257. The reversal of 300114235140240 is 42041532411003.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3001142351402402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 300114235140198 and 300114235140207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625237989636 + ... + 625237990115.

Almost surely, 2300114235140240 is an apocalyptic number.

300114235140240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300114235140240 is an abundant number, since it is smaller than the sum of its proper divisors (630239893795248).

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

300114235140240 is a wasteful number, since it uses less digits than its factorization.

300114235140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250475979767 (or 1250475979761 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 300114235140240 its reverse (42041532411003), we get a palindrome (342155767551243).

The spelling of 300114235140240 in words is "three hundred trillion, one hundred fourteen billion, two hundred thirty-five million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1250475979751 2500951959502 3751427939253 5001903919004 6252379898755 7502855878506 10003807838008 12504759797510 15005711757012 18757139696265 20007615676016 25009519595020 30011423514024 37514279392530 50019039190040 60022847028048 75028558785060 100038078380080 150057117570120 300114235140240