Search a number
-
+
300412094409174 = 23112679137675931
BaseRepresentation
bin100010001001110010010010…
…0001011000110100111010110
31110101200010010101021121020110
41010103210210023012213112
5303333422432132043144
62542531224433343450
7120164025515243166
oct10423444413064726
91411603111247213
10300412094409174
11877a2065626500
1229839a62707b86
13cb8197b611797
145428046d905a6
1524ae61be260b9
hex11139242c69d6

300412094409174 has 96 divisors (see below), whose sum is σ = 670341274501248. Its totient is φ = 89665304889600.

The previous prime is 300412094409169. The next prime is 300412094409211. The reversal of 300412094409174 is 471904490214003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444103989 + ... + 444779919.

It is an arithmetic number, because the mean of its divisors is an integer number (6982721609388).

Almost surely, 2300412094409174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300412094409174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335170637250624).

300412094409174 is an abundant number, since it is smaller than the sum of its proper divisors (369929180092074).

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

300412094409174 is a wasteful number, since it uses less digits than its factorization.

300412094409174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685162 (or 685151 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 300412094409174 in words is "three hundred trillion, four hundred twelve billion, ninety-four million, four hundred nine thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1474 2211 4422 8107 9137 16214 18274 24321 27411 48642 54822 100507 201014 301521 603042 612179 675931 1105577 1224358 1351862 1836537 2027793 2211154 3316731 3673074 4055586 6633462 6733969 7435241 13467938 14870482 20201907 22305723 40403814 44611446 45287377 74073659 81787651 90574754 135862131 148147318 163575302 222220977 245362953 271724262 444441954 490725906 498161147 996322294 1494483441 2988966882 5479772617 6175981547 10959545234 12351963094 16439317851 18527944641 32878635702 37055889282 67935797017 135871594034 203807391051 407614782102 413790763649 747293767187 827581527298 1241372290947 1494587534374 2241881301561 2482744581894 4483762603122 4551698400139 9103396800278 13655095200417 27310190400834 50068682401529 100137364803058 150206047204587 300412094409174