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306145184140 = 225232287291007
BaseRepresentation
bin1000111010001111010…
…11001100100110001100
31002021012210011201121201
410131013223030212030
520003441131343030
6352350253435244
731055364062155
oct4350753144614
91067183151551
10306145184140
11108920a80084
124b3bb49bb24
1322b3bccb543
1410b6334492c
157e6be242ca
hex4747acc98c

306145184140 has 48 divisors (see below), whose sum is σ = 671152914432. Its totient is φ = 117082190016.

The previous prime is 306145184129. The next prime is 306145184141. The reversal of 306145184140 is 41481541603.

It is a super-2 number, since 2×3061451841402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306145184140.

It is not an unprimeable number, because it can be changed into a prime (306145184141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 906517 + ... + 1197523.

It is an arithmetic number, because the mean of its divisors is an integer number (13982352384).

Almost surely, 2306145184140 is an apocalyptic number.

It is an amenable number.

306145184140 is an abundant number, since it is smaller than the sum of its proper divisors (365007730292).

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

306145184140 is a wasteful number, since it uses less digits than its factorization.

306145184140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293326 (or 293324 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 306145184140 in words is "three hundred six billion, one hundred forty-five million, one hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 2287 4574 9148 11435 22870 45740 52601 105202 210404 263005 291007 526010 582014 1052020 1164028 1455035 2910070 5820140 6693161 13386322 26772644 33465805 66931610 133863220 665533009 1331066018 2662132036 3327665045 6655330090 13310660180 15307259207 30614518414 61229036828 76536296035 153072592070 306145184140