Search a number
-
+
315342314408 = 231171892232543
BaseRepresentation
bin1001001011010111101…
…11011101101110101000
31010010221202012100112002
410211223313131232220
520131310113030113
6400511040110132
731532322306062
oct4455367355650
91103852170462
10315342314408
11111810574190
1251147605348
132397656c864
14113969d2732
15830958ec58
hex496bdddba8

315342314408 has 128 divisors (see below), whose sum is σ = 664680038400. Its totient is φ = 139049433600.

The previous prime is 315342314393. The next prime is 315342314459. The reversal of 315342314408 is 804413243513.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124002785 + ... + 124005327.

It is an arithmetic number, because the mean of its divisors is an integer number (5192812800).

Almost surely, 2315342314408 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 315342314408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332340019200).

315342314408 is an abundant number, since it is smaller than the sum of its proper divisors (349337723992).

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

315342314408 is a wasteful number, since it uses less digits than its factorization.

315342314408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 315342314408 in words is "three hundred fifteen billion, three hundred forty-two million, three hundred fourteen thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 71 88 89 142 178 223 284 356 446 568 712 781 892 979 1562 1784 1958 2453 2543 3124 3916 4906 5086 6248 6319 7832 9812 10172 12638 15833 19624 19847 20344 25276 27973 31666 39694 50552 55946 63332 69509 79388 111892 126664 139018 158776 174163 180553 218317 223784 226327 278036 348326 361106 436634 452654 556072 567089 696652 722212 873268 905308 1134178 1393304 1409137 1444424 1746536 1810616 1986083 2268356 2489597 2818274 3972166 4536712 4979194 5636548 6237979 7944332 9958388 11273096 12475958 15500507 15888664 16069217 19916776 24951916 31001014 32138434 40263319 49903832 50470921 62002028 64276868 80526638 100941842 124004056 128553736 161053276 176761387 201883684 322106552 353522774 403767368 442896509 555180131 707045548 885793018 1110360262 1414091096 1771586036 2220720524 3543172072 3583435391 4441441048 7166870782 14333741564 28667483128 39417789301 78835578602 157671157204 315342314408