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314401343412 = 2231319137328289
BaseRepresentation
bin1001001001100111100…
…01111100011110110100
31010001112011121001222110
410210303301330132310
520122343220442122
6400233423531020
731500105216312
oct4446361743664
91101464531873
10314401343412
111113783a8802
1250b24459a70
132385662c6a0
1411307a4d0b2
1582a1b6d90c
hex4933c7c7b4

314401343412 has 96 divisors (see below), whose sum is σ = 796327741440. Its totient is φ = 95971000320.

The previous prime is 314401343401. The next prime is 314401343423. The reversal of 314401343412 is 214343104413.

It is an interprime number because it is at equal distance from previous prime (314401343401) and next prime (314401343423).

It is a self number, because there is not a number n which added to its sum of digits gives 314401343412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11099764 + ... + 11128052.

It is an arithmetic number, because the mean of its divisors is an integer number (8295080640).

Almost surely, 2314401343412 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 314401343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398163870720).

314401343412 is an abundant number, since it is smaller than the sum of its proper divisors (481926398028).

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

314401343412 is a wasteful number, since it uses less digits than its factorization.

314401343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28873 (or 28871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 314401343412 its reverse (214343104413), we get a palindrome (528744447825).

The spelling of 314401343412 in words is "three hundred fourteen billion, four hundred one million, three hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 373 382 573 746 764 1119 1146 1492 2238 2292 2483 4476 4849 4966 7449 9698 9932 14547 14898 19396 28289 29094 29796 56578 58188 71243 84867 113156 142486 169734 213729 284972 339468 367757 427458 735514 854916 926159 1103271 1471028 1852318 2206542 2778477 3704636 4413084 5403199 5556954 10551797 10806398 11113908 16209597 21103594 21612796 31655391 32419194 42207188 63310782 64838388 70241587 126621564 137173361 140483174 210724761 274346722 280966348 411520083 421449522 548693444 823040166 842899044 1646080332 2015393227 4030786454 6046179681 8061572908 12092359362 24184718724 26200111951 52400223902 78600335853 104800447804 157200671706 314401343412