Search a number
-
+
170301131470340 = 225133128017543439
BaseRepresentation
bin100110101110001101010010…
…011100100011011000000100
3211022222121222122220222100022
4212232031102130203120010
5134310203204124022330
61402111132034434312
750604564540105203
oct4656152234433004
9738877878828308
10170301131470340
114a299338a78a52
1217125600432998
1374044351ca510
14300a893b8b23a
1514a4dcae74ae5
hex9ae352723604

170301131470340 has 96 divisors (see below), whose sum is σ = 397708502446080. Its totient is φ = 60830284032000.

The previous prime is 170301131470279. The next prime is 170301131470357. The reversal of 170301131470340 is 43074131103071.

It is a self number, because there is not a number n which added to its sum of digits gives 170301131470340.

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, 18804341 + ... + 26347779.

It is an arithmetic number, because the mean of its divisors is an integer number (4142796900480).

Almost surely, 2170301131470340 is an apocalyptic number.

170301131470340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170301131470340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198854251223040).

170301131470340 is an abundant number, since it is smaller than the sum of its proper divisors (227407370975740).

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

170301131470340 is a wasteful number, since it uses less digits than its factorization.

170301131470340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546293 (or 7546291 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 170301131470340 in words is "one hundred seventy trillion, three hundred one billion, one hundred thirty-one million, four hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 2801 4030 5602 8060 11204 14005 28010 36413 56020 72826 86831 145652 173662 182065 347324 364130 434155 728260 868310 1128803 1736620 2257606 4515212 5644015 7543439 11288030 15086878 22576060 30173756 37717195 75434390 98064707 150868780 196129414 233846609 392258828 467693218 490323535 935386436 980647070 1169233045 1961294140 2338466090 3040005917 4676932180 6080011834 12160023668 15200029585 21129172639 30400059170 42258345278 60800118340 84516690556 105645863195 211291726390 274679244307 422583452780 549358488614 655004351809 1098716977228 1310008703618 1373396221535 2620017407236 2746792443070 3275021759045 5493584886140 6550043518090 8515056573517 13100087036180 17030113147034 34060226294068 42575282867585 85150565735170 170301131470340