Search a number
-
+
301233314140 = 225112959379621
BaseRepresentation
bin1000110001000101110…
…01111001100101011100
31001210112110121212200121
410120202321321211130
514413411212023030
6350215031204324
730522561631363
oct4304271714534
91053473555617
10301233314140
11106830397490
124a46a5166a4
13225384b86a5
1410818c647da
157c80aca47a
hex4622e7995c

301233314140 has 96 divisors (see below), whose sum is σ = 715107476160. Its totient is φ = 105582489600.

The previous prime is 301233314119. The next prime is 301233314141. The reversal of 301233314140 is 41413332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301233314141) 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 31 ways as a sum of consecutive naturals, for example, 3743530 + ... + 3823150.

It is an arithmetic number, because the mean of its divisors is an integer number (7449036210).

Almost surely, 2301233314140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301233314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357553738080).

301233314140 is an abundant number, since it is smaller than the sum of its proper divisors (413874162020).

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

301233314140 is a wasteful number, since it uses less digits than its factorization.

301233314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80263 (or 80261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 301233314140 its reverse (41413332103), we get a palindrome (342646646243).

The spelling of 301233314140 in words is "three hundred one billion, two hundred thirty-three million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 593 638 1186 1276 1595 2372 2965 3190 5930 6380 6523 11860 13046 17197 26092 32615 34394 65230 68788 79621 85985 130460 159242 171970 189167 318484 343940 378334 398105 756668 796210 875831 945835 1592420 1751662 1891670 2309009 3503324 3783340 4379155 4618018 8758310 9236036 11545045 17516620 23090090 25399099 46180180 47215253 50798198 94430506 101596396 126995495 188861012 236076265 253990990 472152530 507981980 519367783 944305060 1038735566 1369242337 2077471132 2596838915 2738484674 5193677830 5476969348 6846211685 10387355660 13692423370 15061665707 27384846740 30123331414 60246662828 75308328535 150616657070 301233314140