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300244141340 = 2251121347203057
BaseRepresentation
bin1000101111001111111…
…00100000010100011100
31001200222112022200200222
410113213330200110130
514404400000010330
6345532533540512
730456221043563
oct4274774402434
91050875280628
10300244141340
11106372a99300
124a2331a4738
132240b59c740
1410763734bda
157c23d370e5
hex45e7f2051c

300244141340 has 144 divisors (see below), whose sum is σ = 762237495936. Its totient is φ = 98636482560.

The previous prime is 300244141261. The next prime is 300244141349. The reversal of 300244141340 is 43141442003.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300244141349) 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 47 ways as a sum of consecutive naturals, for example, 1377092 + ... + 1580148.

It is an arithmetic number, because the mean of its divisors is an integer number (5293315944).

Almost surely, 2300244141340 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 300244141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381118747968).

300244141340 is an abundant number, since it is smaller than the sum of its proper divisors (461993354596).

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

300244141340 is a wasteful number, since it uses less digits than its factorization.

300244141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203148 (or 203135 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 300244141340 its reverse (43141442003), we get a palindrome (343385583343).

The spelling of 300244141340 in words is "three hundred billion, two hundred forty-four million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 121 130 143 188 220 235 242 260 286 470 484 517 572 605 611 715 940 1034 1210 1222 1430 1573 2068 2420 2444 2585 2860 3055 3146 5170 5687 6110 6292 6721 7865 10340 11374 12220 13442 15730 22748 26884 28435 31460 33605 56870 67210 73931 113740 134420 147862 203057 295724 369655 406114 739310 812228 1015285 1478620 2030570 2233627 2639741 4061140 4467254 5279482 8934508 9543679 10558964 11168135 13198705 19087358 22336270 24569897 26397410 29037151 38174716 44672540 47718395 49139794 52794820 58074302 95436790 98279588 104980469 116148604 122849485 124067827 145185755 190873580 209960938 245698970 248135654 290371510 319408661 419921876 491397940 496271308 524902345 580743020 620339135 638817322 1049804690 1154785159 1240678270 1277634644 1364746097 1597043305 2099609380 2309570318 2481356540 2729492194 3194086610 4619140636 5458984388 5773925795 6388173220 6823730485 11547851590 13647460970 15012207067 23095703180 27294921940 30024414134 60048828268 75061035335 150122070670 300244141340